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Finding the Fourth Proportional to 270,859.49, 406,291.29 and 71,179.56

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Solution

The fourth proportional to 270,859.49, 406,291.29 and 71,179.56 is: 106,769.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,859.49 : 406,291.29 = 71,179.56 : x
  2. Step 2: Convert to fraction form
    270,859.49/406,291.29 = 71,179.56/x
  3. Step 3: Cross multiply
    270,859.49x = 406,291.29 × 71,179.56
  4. Step 4: Simplify right side
    270,859.49x = 28,919,635,387.49
  5. Step 5: Solve for x
    x = 28,919,635,387.49/270,859.49
  6. Step 6: Final answer
    x = 106,769.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.