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Finding the Fourth Proportional to 527,086.20, 727,370.16 and 285,366.81

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Solution

The fourth proportional to 527,086.20, 727,370.16 and 285,366.81 is: 393,801.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,086.20 : 727,370.16 = 285,366.81 : x
  2. Step 2: Convert to fraction form
    527,086.20/727,370.16 = 285,366.81/x
  3. Step 3: Cross multiply
    527,086.20x = 727,370.16 × 285,366.81
  4. Step 4: Simplify right side
    527,086.20x = 207,567,302,248.39
  5. Step 5: Solve for x
    x = 207,567,302,248.39/527,086.20
  6. Step 6: Final answer
    x = 393,801.44

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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.