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Finding the Fourth Proportional to 406,042.98, 560,331.27 and 224,744.32

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Solution

The fourth proportional to 406,042.98, 560,331.27 and 224,744.32 is: 310,142.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,042.98 : 560,331.27 = 224,744.32 : x
  2. Step 2: Convert to fraction form
    406,042.98/560,331.27 = 224,744.32/x
  3. Step 3: Cross multiply
    406,042.98x = 560,331.27 × 224,744.32
  4. Step 4: Simplify right side
    406,042.98x = 125,931,270,951.30
  5. Step 5: Solve for x
    x = 125,931,270,951.30/406,042.98
  6. Step 6: Final answer
    x = 310,142.71

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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.