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Finding the Fourth Proportional to 378,414.27, 522,215.78 and 206,330.85

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Solution

The fourth proportional to 378,414.27, 522,215.78 and 206,330.85 is: 284,738.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,414.27 : 522,215.78 = 206,330.85 : x
  2. Step 2: Convert to fraction form
    378,414.27/522,215.78 = 206,330.85/x
  3. Step 3: Cross multiply
    378,414.27x = 522,215.78 × 206,330.85
  4. Step 4: Simplify right side
    378,414.27x = 107,749,224,739.16
  5. Step 5: Solve for x
    x = 107,749,224,739.16/378,414.27
  6. Step 6: Final answer
    x = 284,738.80

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