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Finding the Fourth Proportional to 284,414.82, 392,494.85 and 157,092.54

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Solution

The fourth proportional to 284,414.82, 392,494.85 and 157,092.54 is: 216,789.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,414.82 : 392,494.85 = 157,092.54 : x
  2. Step 2: Convert to fraction form
    284,414.82/392,494.85 = 157,092.54/x
  3. Step 3: Cross multiply
    284,414.82x = 392,494.85 × 157,092.54
  4. Step 4: Simplify right side
    284,414.82x = 61,658,012,923.42
  5. Step 5: Solve for x
    x = 61,658,012,923.42/284,414.82
  6. Step 6: Final answer
    x = 216,789.03

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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.