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Finding the Fourth Proportional to 381,016.86, 571,546.89 and 114,814.14

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Solution

The fourth proportional to 381,016.86, 571,546.89 and 114,814.14 is: 172,227.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,016.86 : 571,546.89 = 114,814.14 : x
  2. Step 2: Convert to fraction form
    381,016.86/571,546.89 = 114,814.14/x
  3. Step 3: Cross multiply
    381,016.86x = 571,546.89 × 114,814.14
  4. Step 4: Simplify right side
    381,016.86x = 65,621,664,645.02
  5. Step 5: Solve for x
    x = 65,621,664,645.02/381,016.86
  6. Step 6: Final answer
    x = 172,227.72

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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.