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Finding the Fourth Proportional to 527,523.16, 727,982.13 and 285,807.40

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Solution

The fourth proportional to 527,523.16, 727,982.13 and 285,807.40 is: 394,414.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,523.16 : 727,982.13 = 285,807.40 : x
  2. Step 2: Convert to fraction form
    527,523.16/727,982.13 = 285,807.40/x
  3. Step 3: Cross multiply
    527,523.16x = 727,982.13 × 285,807.40
  4. Step 4: Simplify right side
    527,523.16x = 208,062,679,821.76
  5. Step 5: Solve for x
    x = 208,062,679,821.76/527,523.16
  6. Step 6: Final answer
    x = 394,414.30

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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.