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Finding the Fourth Proportional to 285,540.41, 394,046.24 and 156,458.38

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Solution

The fourth proportional to 285,540.41, 394,046.24 and 156,458.38 is: 215,912.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,540.41 : 394,046.24 = 156,458.38 : x
  2. Step 2: Convert to fraction form
    285,540.41/394,046.24 = 156,458.38/x
  3. Step 3: Cross multiply
    285,540.41x = 394,046.24 × 156,458.38
  4. Step 4: Simplify right side
    285,540.41x = 61,651,834,588.08
  5. Step 5: Solve for x
    x = 61,651,834,588.08/285,540.41
  6. Step 6: Final answer
    x = 215,912.82

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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.