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Finding the Fourth Proportional to 406,031.85, 560,306.25 and 224,732.97

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Solution

The fourth proportional to 406,031.85, 560,306.25 and 224,732.97 is: 310,121.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,031.85 : 560,306.25 = 224,732.97 : x
  2. Step 2: Convert to fraction form
    406,031.85/560,306.25 = 224,732.97/x
  3. Step 3: Cross multiply
    406,031.85x = 560,306.25 × 224,732.97
  4. Step 4: Simplify right side
    406,031.85x = 125,919,287,672.06
  5. Step 5: Solve for x
    x = 125,919,287,672.06/406,031.85
  6. Step 6: Final answer
    x = 310,121.70

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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.