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Finding the Fourth Proportional to 392,675.38, 588,468.13 and 178,920.90

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Solution

The fourth proportional to 392,675.38, 588,468.13 and 178,920.90 is: 268,133.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,675.38 : 588,468.13 = 178,920.90 : x
  2. Step 2: Convert to fraction form
    392,675.38/588,468.13 = 178,920.90/x
  3. Step 3: Cross multiply
    392,675.38x = 588,468.13 × 178,920.90
  4. Step 4: Simplify right side
    392,675.38x = 105,289,246,993.62
  5. Step 5: Solve for x
    x = 105,289,246,993.62/392,675.38
  6. Step 6: Final answer
    x = 268,133.05

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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.