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Finding the Fourth Proportional to 527,314.46, 727,690.32 and 285,591.50

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Solution

The fourth proportional to 527,314.46, 727,690.32 and 285,591.50 is: 394,114.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,314.46 : 727,690.32 = 285,591.50 : x
  2. Step 2: Convert to fraction form
    527,314.46/727,690.32 = 285,591.50/x
  3. Step 3: Cross multiply
    527,314.46x = 727,690.32 × 285,591.50
  4. Step 4: Simplify right side
    527,314.46x = 207,822,170,024.28
  5. Step 5: Solve for x
    x = 207,822,170,024.28/527,314.46
  6. Step 6: Final answer
    x = 394,114.30

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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.