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Finding the Fourth Proportional to 565,949.72, 781,067.90 and 324,264.35

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Solution

The fourth proportional to 565,949.72, 781,067.90 and 324,264.35 is: 447,517.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,949.72 : 781,067.90 = 324,264.35 : x
  2. Step 2: Convert to fraction form
    565,949.72/781,067.90 = 324,264.35/x
  3. Step 3: Cross multiply
    565,949.72x = 781,067.90 × 324,264.35
  4. Step 4: Simplify right side
    565,949.72x = 253,272,469,372.70
  5. Step 5: Solve for x
    x = 253,272,469,372.70/565,949.72
  6. Step 6: Final answer
    x = 447,517.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.