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Finding the Fourth Proportional to 381,278.38, 526,227.24 and 211,567.18

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Solution

The fourth proportional to 381,278.38, 526,227.24 and 211,567.18 is: 291,997.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,278.38 : 526,227.24 = 211,567.18 : x
  2. Step 2: Convert to fraction form
    381,278.38/526,227.24 = 211,567.18/x
  3. Step 3: Cross multiply
    381,278.38x = 526,227.24 × 211,567.18
  4. Step 4: Simplify right side
    381,278.38x = 111,332,413,205.98
  5. Step 5: Solve for x
    x = 111,332,413,205.98/381,278.38
  6. Step 6: Final answer
    x = 291,997.71

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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.