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Finding the Fourth Proportional to 408,220.85, 563,359.23 and 224,473.42

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Solution

The fourth proportional to 408,220.85, 563,359.23 and 224,473.42 is: 309,781.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,220.85 : 563,359.23 = 224,473.42 : x
  2. Step 2: Convert to fraction form
    408,220.85/563,359.23 = 224,473.42/x
  3. Step 3: Cross multiply
    408,220.85x = 563,359.23 × 224,473.42
  4. Step 4: Simplify right side
    408,220.85x = 126,459,170,229.87
  5. Step 5: Solve for x
    x = 126,459,170,229.87/408,220.85
  6. Step 6: Final answer
    x = 309,781.26

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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.