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Finding the Fourth Proportional to 393,691.96, 543,288.77 and 221,609.56

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Solution

The fourth proportional to 393,691.96, 543,288.77 and 221,609.56 is: 305,817.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,691.96 : 543,288.77 = 221,609.56 : x
  2. Step 2: Convert to fraction form
    393,691.96/543,288.77 = 221,609.56/x
  3. Step 3: Cross multiply
    393,691.96x = 543,288.77 × 221,609.56
  4. Step 4: Simplify right side
    393,691.96x = 120,397,983,110.22
  5. Step 5: Solve for x
    x = 120,397,983,110.22/393,691.96
  6. Step 6: Final answer
    x = 305,817.73

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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.