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Finding the Fourth Proportional to 360,909.13, 541,114.21 and 259,769.29

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Solution

The fourth proportional to 360,909.13, 541,114.21 and 259,769.29 is: 389,474.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,909.13 : 541,114.21 = 259,769.29 : x
  2. Step 2: Convert to fraction form
    360,909.13/541,114.21 = 259,769.29/x
  3. Step 3: Cross multiply
    360,909.13x = 541,114.21 × 259,769.29
  4. Step 4: Simplify right side
    360,909.13x = 140,564,850,785.62
  5. Step 5: Solve for x
    x = 140,564,850,785.62/360,909.13
  6. Step 6: Final answer
    x = 389,474.36

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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.