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Finding the Fourth Proportional to 406,049.25, 560,339.85 and 224,761.14

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Solution

The fourth proportional to 406,049.25, 560,339.85 and 224,761.14 is: 310,165.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,049.25 : 560,339.85 = 224,761.14 : x
  2. Step 2: Convert to fraction form
    406,049.25/560,339.85 = 224,761.14/x
  3. Step 3: Cross multiply
    406,049.25x = 560,339.85 × 224,761.14
  4. Step 4: Simplify right side
    406,049.25x = 125,942,623,473.43
  5. Step 5: Solve for x
    x = 125,942,623,473.43/406,049.25
  6. Step 6: Final answer
    x = 310,165.88

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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.