Keep in mind that if you copied the 64 Bit version you'll only be able to use it on a 64 Bit machine. Once the files are copied you should be able to simply restart the PortableApps Platform and start WinRAR from the menu. You'll need to create the WinRAR directory as I removed WinRAR itself from the package to make it legal.
Afterwards copy your WinRAR files you installed (usually in c:\Program Files\WinRAR or c:\Program Files (x86)\WinRAR) to Portable Apps\WinRAR.Portable\App\WinRAR. Then extract 'WinRAR Portable (Without the WinRAR).rar' to your PortableApps directory. Then download the proper directory structure and files from.
To make this work simply download your legal copy of win rar from. However distributing a shell for making your own personal copy is perfectly legal. Indeed it is not possible to distribute WinRAR portable as it's closed source.