Umatilla Bank and Trust is considering giving Oriole Company a loan. Before doing so$,$ it decides that further discussions with Oriole's accountant may be desirable. One area of particular concern is the Inventory account, which has a year$-$end balance of $$324,800.$ Discussions with the accountant reveal the following. $1.$ Oriole shipped goods costing $$30,900$ to Hemlock Company FOB shipping point on December $28.$ The goods are not expected to reach Hemlock until January $12.$ The goods were not included in the physical inventory because they were not in the warehouse. $2.$ The physical count of the inventory did not include goods costing $$94,300$ that were shipped to Oriole FOB destination on December $27$ and were still in transit at year$-$end. $3.$Oriole received goods costing $$29,500$ on January $2.$ The goods were shipped FOB shipping point on December $26$ by Yanice Co$.$They were not included in the physical count. $4.$ Oriole shipped goods costing $$42,800$ to Ehler of Canada FOB destination on December $30.$The goods were received in Canada in January $8.$ They were not included in Oriole's physical inventory. $5.$ Oriole received goods costing $$43,100$ on January $2$ that were shipped FOB destination on December $29.$ The shipment was a rush order that was supposed to arrive December $31.$This purchase was included in the ending inventory of $$324,800.$ Determine the correct inventory amount on December $31.$