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Finding the Fourth Proportional to 391,996.80, 588,302.40 and 181,660.80

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Solution

The fourth proportional to 391,996.80, 588,302.40 and 181,660.80 is: 272,633.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,996.80 : 588,302.40 = 181,660.80 : x
  2. Step 2: Convert to fraction form
    391,996.80/588,302.40 = 181,660.80/x
  3. Step 3: Cross multiply
    391,996.80x = 588,302.40 × 181,660.80
  4. Step 4: Simplify right side
    391,996.80x = 106,871,484,625.92
  5. Step 5: Solve for x
    x = 106,871,484,625.92/391,996.80
  6. Step 6: Final answer
    x = 272,633.56

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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.