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Finding the Fourth Proportional to 392,232.44, 588,663.90 and 202,748.30

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Solution

The fourth proportional to 392,232.44, 588,663.90 and 202,748.30 is: 304,285.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,232.44 : 588,663.90 = 202,748.30 : x
  2. Step 2: Convert to fraction form
    392,232.44/588,663.90 = 202,748.30/x
  3. Step 3: Cross multiply
    392,232.44x = 588,663.90 × 202,748.30
  4. Step 4: Simplify right side
    392,232.44x = 119,350,604,996.37
  5. Step 5: Solve for x
    x = 119,350,604,996.37/392,232.44
  6. Step 6: Final answer
    x = 304,285.40

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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.