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Finding the Fourth Proportional to 457,363.60, 686,434.20 and 205,032.40

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Solution

The fourth proportional to 457,363.60, 686,434.20 and 205,032.40 is: 307,722.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,363.60 : 686,434.20 = 205,032.40 : x
  2. Step 2: Convert to fraction form
    457,363.60/686,434.20 = 205,032.40/x
  3. Step 3: Cross multiply
    457,363.60x = 686,434.20 × 205,032.40
  4. Step 4: Simplify right side
    457,363.60x = 140,741,251,468.08
  5. Step 5: Solve for x
    x = 140,741,251,468.08/457,363.60
  6. Step 6: Final answer
    x = 307,722.90

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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.