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Finding the Fourth Proportional to 406,243.47, 560,609.10 and 224,951.52

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Solution

The fourth proportional to 406,243.47, 560,609.10 and 224,951.52 is: 310,429.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,243.47 : 560,609.10 = 224,951.52 : x
  2. Step 2: Convert to fraction form
    406,243.47/560,609.10 = 224,951.52/x
  3. Step 3: Cross multiply
    406,243.47x = 560,609.10 × 224,951.52
  4. Step 4: Simplify right side
    406,243.47x = 126,109,869,170.83
  5. Step 5: Solve for x
    x = 126,109,869,170.83/406,243.47
  6. Step 6: Final answer
    x = 310,429.28

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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.