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Finding the Fourth Proportional to 392,233.44, 588,665.40 and 202,749.30

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Solution

The fourth proportional to 392,233.44, 588,665.40 and 202,749.30 is: 304,286.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,233.44 : 588,665.40 = 202,749.30 : x
  2. Step 2: Convert to fraction form
    392,233.44/588,665.40 = 202,749.30/x
  3. Step 3: Cross multiply
    392,233.44x = 588,665.40 × 202,749.30
  4. Step 4: Simplify right side
    392,233.44x = 119,351,497,784.22
  5. Step 5: Solve for x
    x = 119,351,497,784.22/392,233.44
  6. Step 6: Final answer
    x = 304,286.90

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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.