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Finding the Fourth Proportional to 392,952.92, 589,658.10 and 165,232.07

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Solution

The fourth proportional to 392,952.92, 589,658.10 and 165,232.07 is: 247,944.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,952.92 : 589,658.10 = 165,232.07 : x
  2. Step 2: Convert to fraction form
    392,952.92/589,658.10 = 165,232.07/x
  3. Step 3: Cross multiply
    392,952.92x = 589,658.10 × 165,232.07
  4. Step 4: Simplify right side
    392,952.92x = 97,430,428,455.27
  5. Step 5: Solve for x
    x = 97,430,428,455.27/392,952.92
  6. Step 6: Final answer
    x = 247,944.28

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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.