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Finding the Fourth Proportional to 381,302.10, 571,843.80 and 114,998.40

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Solution

The fourth proportional to 381,302.10, 571,843.80 and 114,998.40 is: 172,464.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,302.10 : 571,843.80 = 114,998.40 : x
  2. Step 2: Convert to fraction form
    381,302.10/571,843.80 = 114,998.40/x
  3. Step 3: Cross multiply
    381,302.10x = 571,843.80 × 114,998.40
  4. Step 4: Simplify right side
    381,302.10x = 65,761,122,049.92
  5. Step 5: Solve for x
    x = 65,761,122,049.92/381,302.10
  6. Step 6: Final answer
    x = 172,464.62

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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.