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Finding the Fourth Proportional to 259,724.80, 389,587.20 and 171,251.20

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Solution

The fourth proportional to 259,724.80, 389,587.20 and 171,251.20 is: 256,876.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,724.80 : 389,587.20 = 171,251.20 : x
  2. Step 2: Convert to fraction form
    259,724.80/389,587.20 = 171,251.20/x
  3. Step 3: Cross multiply
    259,724.80x = 389,587.20 × 171,251.20
  4. Step 4: Simplify right side
    259,724.80x = 66,717,275,504.64
  5. Step 5: Solve for x
    x = 66,717,275,504.64/259,724.80
  6. Step 6: Final answer
    x = 256,876.80

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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.