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Finding the Fourth Proportional to 392,433.12, 588,715.29 and 155,777.85

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Solution

The fourth proportional to 392,433.12, 588,715.29 and 155,777.85 is: 233,692.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,433.12 : 588,715.29 = 155,777.85 : x
  2. Step 2: Convert to fraction form
    392,433.12/588,715.29 = 155,777.85/x
  3. Step 3: Cross multiply
    392,433.12x = 588,715.29 × 155,777.85
  4. Step 4: Simplify right side
    392,433.12x = 91,708,802,138.33
  5. Step 5: Solve for x
    x = 91,708,802,138.33/392,433.12
  6. Step 6: Final answer
    x = 233,692.82

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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.