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Finding the Fourth Proportional to 259,794.20, 389,691.30 and 171,147.80

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Solution

The fourth proportional to 259,794.20, 389,691.30 and 171,147.80 is: 256,721.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,794.20 : 389,691.30 = 171,147.80 : x
  2. Step 2: Convert to fraction form
    259,794.20/389,691.30 = 171,147.80/x
  3. Step 3: Cross multiply
    259,794.20x = 389,691.30 × 171,147.80
  4. Step 4: Simplify right side
    259,794.20x = 66,694,808,674.14
  5. Step 5: Solve for x
    x = 66,694,808,674.14/259,794.20
  6. Step 6: Final answer
    x = 256,721.70

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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.