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Finding the Fourth Proportional to 397,540.80, 596,152.80 and 131,227.20

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Solution

The fourth proportional to 397,540.80, 596,152.80 and 131,227.20 is: 196,788.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,540.80 : 596,152.80 = 131,227.20 : x
  2. Step 2: Convert to fraction form
    397,540.80/596,152.80 = 131,227.20/x
  3. Step 3: Cross multiply
    397,540.80x = 596,152.80 × 131,227.20
  4. Step 4: Simplify right side
    397,540.80x = 78,231,462,716.16
  5. Step 5: Solve for x
    x = 78,231,462,716.16/397,540.80
  6. Step 6: Final answer
    x = 196,788.51

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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.