AAA and BBB formed a joint venture called CCC on January $1,2022.$ Presented below are some relevant details on the establishment of this Joint Venture: All transactions were considered to be of commercial substance. The fiscal year end for all three entities $($AAA$,$ BBB$,$ CCC$)$ is December $31.$ AAA contributed plant and equipment with a fair value of $$600,000.$ AAA's share in the venture was $30\%$; BBB$\text{'}$s share is $70\%.$ BBB contributed assets with a book value of $$1,100,000$ All assets transferred had a remaining useful life of $17$ years. At the end of $2022,$ AAA realized a gain of $$8,465$ for its share of contributed plant and equipment. Required: Calculate the book value of plant and equipment contributed by AAA.