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Finding the Fourth Proportional to 297,436.20, 410,462.28 and 161,470.08

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Solution

The fourth proportional to 297,436.20, 410,462.28 and 161,470.08 is: 222,828.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,436.20 : 410,462.28 = 161,470.08 : x
  2. Step 2: Convert to fraction form
    297,436.20/410,462.28 = 161,470.08/x
  3. Step 3: Cross multiply
    297,436.20x = 410,462.28 × 161,470.08
  4. Step 4: Simplify right side
    297,436.20x = 66,277,377,188.58
  5. Step 5: Solve for x
    x = 66,277,377,188.58/297,436.20
  6. Step 6: Final answer
    x = 222,828.89

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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.