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Finding the Fourth Proportional to 527,435.57, 727,863.32 and 285,718.14

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Solution

The fourth proportional to 527,435.57, 727,863.32 and 285,718.14 is: 394,292.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,435.57 : 727,863.32 = 285,718.14 : x
  2. Step 2: Convert to fraction form
    527,435.57/727,863.32 = 285,718.14/x
  3. Step 3: Cross multiply
    527,435.57x = 727,863.32 × 285,718.14
  4. Step 4: Simplify right side
    527,435.57x = 207,963,753,071.76
  5. Step 5: Solve for x
    x = 207,963,753,071.76/527,435.57
  6. Step 6: Final answer
    x = 394,292.24

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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.