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Finding the Fourth Proportional to 297,511.74, 410,559.30 and 161,546.04

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Solution

The fourth proportional to 297,511.74, 410,559.30 and 161,546.04 is: 222,929.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,511.74 : 410,559.30 = 161,546.04 : x
  2. Step 2: Convert to fraction form
    297,511.74/410,559.30 = 161,546.04/x
  3. Step 3: Cross multiply
    297,511.74x = 410,559.30 × 161,546.04
  4. Step 4: Simplify right side
    297,511.74x = 66,324,229,100.17
  5. Step 5: Solve for x
    x = 66,324,229,100.17/297,511.74
  6. Step 6: Final answer
    x = 222,929.79

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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.