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Finding the Fourth Proportional to 527,405.59, 727,823.20 and 285,688.16

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Solution

The fourth proportional to 527,405.59, 727,823.20 and 285,688.16 is: 394,251.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,405.59 : 727,823.20 = 285,688.16 : x
  2. Step 2: Convert to fraction form
    527,405.59/727,823.20 = 285,688.16/x
  3. Step 3: Cross multiply
    527,405.59x = 727,823.20 × 285,688.16
  4. Step 4: Simplify right side
    527,405.59x = 207,930,466,459.98
  5. Step 5: Solve for x
    x = 207,930,466,459.98/527,405.59
  6. Step 6: Final answer
    x = 394,251.54

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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.