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Finding the Fourth Proportional to 406,057.62, 560,354.67 and 224,769.90

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Solution

The fourth proportional to 406,057.62, 560,354.67 and 224,769.90 is: 310,179.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,057.62 : 560,354.67 = 224,769.90 : x
  2. Step 2: Convert to fraction form
    406,057.62/560,354.67 = 224,769.90/x
  3. Step 3: Cross multiply
    406,057.62x = 560,354.67 × 224,769.90
  4. Step 4: Simplify right side
    406,057.62x = 125,950,863,140.43
  5. Step 5: Solve for x
    x = 125,950,863,140.43/406,057.62
  6. Step 6: Final answer
    x = 310,179.78

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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.