On December $31,20$X$6,$ Gold Company acquired all of Nugget's outstanding common stock for $$1,500,000$ cash. On that date, the fair $($market$)$ value of Nugget's inventories was $$450,000,$ and the fair value of Nugget's property, plant, and equipment was $$1,000,000.$ The fair values of all other assets and liabilities of Nugget were equal to their book values. $4.$ As a result of Gold's acquisition of Nugget, the consolidated balance sheet of Gold and Nugget should reflect goodwill in the amount of: