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Finding the Fourth Proportional to 493,634.44, 681,283.12 and 284,077.96

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Solution

The fourth proportional to 493,634.44, 681,283.12 and 284,077.96 is: 392,066.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,634.44 : 681,283.12 = 284,077.96 : x
  2. Step 2: Convert to fraction form
    493,634.44/681,283.12 = 284,077.96/x
  3. Step 3: Cross multiply
    493,634.44x = 681,283.12 × 284,077.96
  4. Step 4: Simplify right side
    493,634.44x = 193,537,518,912.04
  5. Step 5: Solve for x
    x = 193,537,518,912.04/493,634.44
  6. Step 6: Final answer
    x = 392,066.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.