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Finding the Fourth Proportional to 297,324.20, 410,307.66 and 161,358.17

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Solution

The fourth proportional to 297,324.20, 410,307.66 and 161,358.17 is: 222,674.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,324.20 : 410,307.66 = 161,358.17 : x
  2. Step 2: Convert to fraction form
    297,324.20/410,307.66 = 161,358.17/x
  3. Step 3: Cross multiply
    297,324.20x = 410,307.66 × 161,358.17
  4. Step 4: Simplify right side
    297,324.20x = 66,206,491,103.04
  5. Step 5: Solve for x
    x = 66,206,491,103.04/297,324.20
  6. Step 6: Final answer
    x = 222,674.41

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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.