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Finding the Fourth Proportional to 376,677.38, 519,815.14 and 206,922.44

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Solution

The fourth proportional to 376,677.38, 519,815.14 and 206,922.44 is: 285,553.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,677.38 : 519,815.14 = 206,922.44 : x
  2. Step 2: Convert to fraction form
    376,677.38/519,815.14 = 206,922.44/x
  3. Step 3: Cross multiply
    376,677.38x = 519,815.14 × 206,922.44
  4. Step 4: Simplify right side
    376,677.38x = 107,561,417,117.74
  5. Step 5: Solve for x
    x = 107,561,417,117.74/376,677.38
  6. Step 6: Final answer
    x = 285,553.16

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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.