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Finding the Fourth Proportional to 391,471.20, 587,206.80 and 181,519.20

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Solution

The fourth proportional to 391,471.20, 587,206.80 and 181,519.20 is: 272,278.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,471.20 : 587,206.80 = 181,519.20 : x
  2. Step 2: Convert to fraction form
    391,471.20/587,206.80 = 181,519.20/x
  3. Step 3: Cross multiply
    391,471.20x = 587,206.80 × 181,519.20
  4. Step 4: Simplify right side
    391,471.20x = 106,589,308,570.56
  5. Step 5: Solve for x
    x = 106,589,308,570.56/391,471.20
  6. Step 6: Final answer
    x = 272,278.80

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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.