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Finding the Fourth Proportional to 392,047.92, 588,078.33 and 107,736.69

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Solution

The fourth proportional to 392,047.92, 588,078.33 and 107,736.69 is: 161,606.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,047.92 : 588,078.33 = 107,736.69 : x
  2. Step 2: Convert to fraction form
    392,047.92/588,078.33 = 107,736.69/x
  3. Step 3: Cross multiply
    392,047.92x = 588,078.33 × 107,736.69
  4. Step 4: Simplify right side
    392,047.92x = 63,357,614,536.21
  5. Step 5: Solve for x
    x = 63,357,614,536.21/392,047.92
  6. Step 6: Final answer
    x = 161,606.81

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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.