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Finding the Fourth Proportional to 392,502.40, 588,576.48 and 111,952.96

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Solution

The fourth proportional to 392,502.40, 588,576.48 and 111,952.96 is: 167,878.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,502.40 : 588,576.48 = 111,952.96 : x
  2. Step 2: Convert to fraction form
    392,502.40/588,576.48 = 111,952.96/x
  3. Step 3: Cross multiply
    392,502.40x = 588,576.48 × 111,952.96
  4. Step 4: Simplify right side
    392,502.40x = 65,892,879,122.38
  5. Step 5: Solve for x
    x = 65,892,879,122.38/392,502.40
  6. Step 6: Final answer
    x = 167,878.92

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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.