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Finding the Fourth Proportional to 457,314.20, 684,659.10 and 280,167.20

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Solution

The fourth proportional to 457,314.20, 684,659.10 and 280,167.20 is: 419,446.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,314.20 : 684,659.10 = 280,167.20 : x
  2. Step 2: Convert to fraction form
    457,314.20/684,659.10 = 280,167.20/x
  3. Step 3: Cross multiply
    457,314.20x = 684,659.10 × 280,167.20
  4. Step 4: Simplify right side
    457,314.20x = 191,819,023,001.52
  5. Step 5: Solve for x
    x = 191,819,023,001.52/457,314.20
  6. Step 6: Final answer
    x = 419,446.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.