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Finding the Fourth Proportional to 392,239.50, 588,674.52 and 202,755.44

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Solution

The fourth proportional to 392,239.50, 588,674.52 and 202,755.44 is: 304,296.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,239.50 : 588,674.52 = 202,755.44 : x
  2. Step 2: Convert to fraction form
    392,239.50/588,674.52 = 202,755.44/x
  3. Step 3: Cross multiply
    392,239.50x = 588,674.52 × 202,755.44
  4. Step 4: Simplify right side
    392,239.50x = 119,356,961,319.39
  5. Step 5: Solve for x
    x = 119,356,961,319.39/392,239.50
  6. Step 6: Final answer
    x = 304,296.13

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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.