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Finding the Fourth Proportional to 392,580.92, 588,858.82 and 164,997.11

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Solution

The fourth proportional to 392,580.92, 588,858.82 and 164,997.11 is: 247,490.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,580.92 : 588,858.82 = 164,997.11 : x
  2. Step 2: Convert to fraction form
    392,580.92/588,858.82 = 164,997.11/x
  3. Step 3: Cross multiply
    392,580.92x = 588,858.82 × 164,997.11
  4. Step 4: Simplify right side
    392,580.92x = 97,160,003,498.01
  5. Step 5: Solve for x
    x = 97,160,003,498.01/392,580.92
  6. Step 6: Final answer
    x = 247,490.39

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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.