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Finding the Fourth Proportional to 378,198.84, 521,882.04 and 217,050.48

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Solution

The fourth proportional to 378,198.84, 521,882.04 and 217,050.48 is: 299,511.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,198.84 : 521,882.04 = 217,050.48 : x
  2. Step 2: Convert to fraction form
    378,198.84/521,882.04 = 217,050.48/x
  3. Step 3: Cross multiply
    378,198.84x = 521,882.04 × 217,050.48
  4. Step 4: Simplify right side
    378,198.84x = 113,274,747,285.38
  5. Step 5: Solve for x
    x = 113,274,747,285.38/378,198.84
  6. Step 6: Final answer
    x = 299,511.09

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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.