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Finding the Fourth Proportional to 527,216.64, 727,562.36 and 285,499.20

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Solution

The fourth proportional to 527,216.64, 727,562.36 and 285,499.20 is: 393,990.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,216.64 : 727,562.36 = 285,499.20 : x
  2. Step 2: Convert to fraction form
    527,216.64/727,562.36 = 285,499.20/x
  3. Step 3: Cross multiply
    527,216.64x = 727,562.36 × 285,499.20
  4. Step 4: Simplify right side
    527,216.64x = 207,718,471,730.11
  5. Step 5: Solve for x
    x = 207,718,471,730.11/527,216.64
  6. Step 6: Final answer
    x = 393,990.74

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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.