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Finding the Fourth Proportional to 378,376.38, 522,166.23 and 206,295.66

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Solution

The fourth proportional to 378,376.38, 522,166.23 and 206,295.66 is: 284,691.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,376.38 : 522,166.23 = 206,295.66 : x
  2. Step 2: Convert to fraction form
    378,376.38/522,166.23 = 206,295.66/x
  3. Step 3: Cross multiply
    378,376.38x = 522,166.23 × 206,295.66
  4. Step 4: Simplify right side
    378,376.38x = 107,720,627,047.56
  5. Step 5: Solve for x
    x = 107,720,627,047.56/378,376.38
  6. Step 6: Final answer
    x = 284,691.73

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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.