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Finding the Fourth Proportional to 465,909.56, 698,729.21 and 181,536.68

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Solution

The fourth proportional to 465,909.56, 698,729.21 and 181,536.68 is: 272,252.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,909.56 : 698,729.21 = 181,536.68 : x
  2. Step 2: Convert to fraction form
    465,909.56/698,729.21 = 181,536.68/x
  3. Step 3: Cross multiply
    465,909.56x = 698,729.21 × 181,536.68
  4. Step 4: Simplify right side
    465,909.56x = 126,844,976,601.09
  5. Step 5: Solve for x
    x = 126,844,976,601.09/465,909.56
  6. Step 6: Final answer
    x = 272,252.36

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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.