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Finding the Fourth Proportional to 285,889.70, 394,517.70 and 158,577.14

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Solution

The fourth proportional to 285,889.70, 394,517.70 and 158,577.14 is: 218,830.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,889.70 : 394,517.70 = 158,577.14 : x
  2. Step 2: Convert to fraction form
    285,889.70/394,517.70 = 158,577.14/x
  3. Step 3: Cross multiply
    285,889.70x = 394,517.70 × 158,577.14
  4. Step 4: Simplify right side
    285,889.70x = 62,561,488,545.38
  5. Step 5: Solve for x
    x = 62,561,488,545.38/285,889.70
  6. Step 6: Final answer
    x = 218,830.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.