Boot Camp Windows install format to NTFS not working.

Question

As a preface I am new to Apple and more complex computer issues in general. With that said I have spent several hours trying to get Windows 8.1 installed from the DVD media to a partition created using Boot Camp Assistant. I have tried several suggestions and looked through many threads, blogs and articles and none seem to have the correct answer. Below are the steps that I have followed and the issue that I run into every time.
Open Boot Camp Assistant
     Select Download the latest Windows support software from Apple
     Select Install Windows 7 or later version
     Download support software to USB Drive (leave connected)
     Create a Partition (200GB)
Hold Option on Reboot and Select Windows
Begin the Windows install process
Select Custom: Install Windows only (advanced)
Installation asks: Where do you want to install Windows?
Select Drive 0 partition 4: BOOTCAMP
     Error Message Details:
          Windows cannot be installed to this disk. The selected disk is of the GPT partition style.
          Windows cannot be installed to this hard disk space. Windows must be installed to a partition formatted as NTFS.
Solution I found from many threads is that I need to "Format" the partition. To do so I:
     Select Drive 0 Partition 4: BOOTCAMP
     Select Format
     Select Drive 0 Partition 4 (No longer titled as BOOTCAMP after the reformat)        
          Error Message Details:
               Windows cannot be installed to this disk. The selected disk is of the GPT partition style.
I cant seem to find a solution to this. Any help would be appreciated. I have tried removing all other connected drives and devices, and recreating the partition several times with no luck.
Machine Info:
OS X Yosemite 10.10.2
Mac (27-inch, Late 2013)
Processor: 3.2 GHz Intel Core i5
Memory 8 GB 1600 MHz DDR3
I also have VMware Fusion installed on the machine and already used the Windows installation media to create a virtual machine. Is it possible to transfer my virtual machine to a Boot Camp partition? I did a little research and it looks as though thats not possible (at least not easily) but I figured I'd ask anyway.

Answer 1

Sorry for the delayed response. I'm still working to get a solution so any help is much appreciated. Thanks.
The installation media I purchased is for windows 8.1. Is that the issue? Do I need to install 8 not 8.1?
Output for sudo gpt -vv -r show /dev/disk0:
gpt show: /dev/disk0: mediasize=1000204886016; sectorsize=512; blocks=1953525168
gpt show: /dev/disk0: PMBR at sector 0
gpt show: /dev/disk0: Pri GPT at sector 1
gpt show: /dev/disk0: Sec GPT at sector 1953525167
       start        size  index  contents
           0           1         PMBR
           1           1         Pri GPT header
           2          32         Pri GPT table
          34           6        
          40      409600      1  GPT part - C12A7328-F81F-11D2-BA4B-00A0C93EC93B
      409640  1560546816      2  GPT part - 48465300-0000-11AA-AA11-00306543ECAC
  1560956456     1269536      3  GPT part - 426F6F74-0000-11AA-AA11-00306543ECAC
  1562225992         696        
  1562226688   391297024      4  GPT part - EBD0A0A2-B9E5-4433-87C0-68B6B72699C7
  1953523712        1423        
  1953525135          32         Sec GPT table
  1953525167           1         Sec GPT header
Output for sudo fdisk /dev/disk0:
Disk: /dev/disk0 geometry: 121601/255/63 [1953525168 sectors]
Signature: 0xAA55
         Starting       Ending
#: id  cyl  hd sec -  cyl  hd sec [     start -       size]
1: EE 1023 254  63 - 1023 254  63 [         1 - 1953525167] <Unknown ID>
2: 00    0   0   0 -    0   0   0 [         0 -          0] unused     
3: 00    0   0   0 -    0   0   0 [         0 -          0] unused     
4: 00    0   0   0 -    0   0   0 [         0 -          0] unused