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Finding the Fourth Proportional to 381,299.16, 571,996.41 and 115,059.24

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Solution

The fourth proportional to 381,299.16, 571,996.41 and 115,059.24 is: 172,603.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,299.16 : 571,996.41 = 115,059.24 : x
  2. Step 2: Convert to fraction form
    381,299.16/571,996.41 = 115,059.24/x
  3. Step 3: Cross multiply
    381,299.16x = 571,996.41 × 115,059.24
  4. Step 4: Simplify right side
    381,299.16x = 65,813,472,217.33
  5. Step 5: Solve for x
    x = 65,813,472,217.33/381,299.16
  6. Step 6: Final answer
    x = 172,603.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.