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Finding the Fourth Proportional to 381,259.78, 571,893.78 and 115,022.62

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Solution

The fourth proportional to 381,259.78, 571,893.78 and 115,022.62 is: 172,535.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,259.78 : 571,893.78 = 115,022.62 : x
  2. Step 2: Convert to fraction form
    381,259.78/571,893.78 = 115,022.62/x
  3. Step 3: Cross multiply
    381,259.78x = 571,893.78 × 115,022.62
  4. Step 4: Simplify right side
    381,259.78x = 65,780,720,937.30
  5. Step 5: Solve for x
    x = 65,780,720,937.30/381,259.78
  6. Step 6: Final answer
    x = 172,535.17

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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.