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Finding the Fourth Proportional to 397,129.20, 595,799.40 and 172,393.20

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Solution

The fourth proportional to 397,129.20, 595,799.40 and 172,393.20 is: 258,635.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,129.20 : 595,799.40 = 172,393.20 : x
  2. Step 2: Convert to fraction form
    397,129.20/595,799.40 = 172,393.20/x
  3. Step 3: Cross multiply
    397,129.20x = 595,799.40 × 172,393.20
  4. Step 4: Simplify right side
    397,129.20x = 102,711,765,124.08
  5. Step 5: Solve for x
    x = 102,711,765,124.08/397,129.20
  6. Step 6: Final answer
    x = 258,635.64

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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.