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Finding the Fourth Proportional to 408,039.60, 563,092.50 and 224,282.40

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Solution

The fourth proportional to 408,039.60, 563,092.50 and 224,282.40 is: 309,508.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,039.60 : 563,092.50 = 224,282.40 : x
  2. Step 2: Convert to fraction form
    408,039.60/563,092.50 = 224,282.40/x
  3. Step 3: Cross multiply
    408,039.60x = 563,092.50 × 224,282.40
  4. Step 4: Simplify right side
    408,039.60x = 126,291,737,322
  5. Step 5: Solve for x
    x = 126,291,737,322/408,039.60
  6. Step 6: Final answer
    x = 309,508.53

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1.5x scale

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.