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Finding the Fourth Proportional to 399,057.82, 550,682.68 and 217,765.24

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Solution

The fourth proportional to 399,057.82, 550,682.68 and 217,765.24 is: 300,506.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,057.82 : 550,682.68 = 217,765.24 : x
  2. Step 2: Convert to fraction form
    399,057.82/550,682.68 = 217,765.24/x
  3. Step 3: Cross multiply
    399,057.82x = 550,682.68 × 217,765.24
  4. Step 4: Simplify right side
    399,057.82x = 119,919,545,974.04
  5. Step 5: Solve for x
    x = 119,919,545,974.04/399,057.82
  6. Step 6: Final answer
    x = 300,506.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.