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Finding the Fourth Proportional to 392,579.92, 588,857.32 and 164,996.11

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Solution

The fourth proportional to 392,579.92, 588,857.32 and 164,996.11 is: 247,488.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,579.92 : 588,857.32 = 164,996.11 : x
  2. Step 2: Convert to fraction form
    392,579.92/588,857.32 = 164,996.11/x
  3. Step 3: Cross multiply
    392,579.92x = 588,857.32 × 164,996.11
  4. Step 4: Simplify right side
    392,579.92x = 97,159,167,145.03
  5. Step 5: Solve for x
    x = 97,159,167,145.03/392,579.92
  6. Step 6: Final answer
    x = 247,488.89

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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.