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Finding the Fourth Proportional to 297,416.60, 410,442.17 and 161,450.18

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Solution

The fourth proportional to 297,416.60, 410,442.17 and 161,450.18 is: 222,805.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,416.60 : 410,442.17 = 161,450.18 : x
  2. Step 2: Convert to fraction form
    297,416.60/410,442.17 = 161,450.18/x
  3. Step 3: Cross multiply
    297,416.60x = 410,442.17 × 161,450.18
  4. Step 4: Simplify right side
    297,416.60x = 66,265,959,366.63
  5. Step 5: Solve for x
    x = 66,265,959,366.63/297,416.60
  6. Step 6: Final answer
    x = 222,805.18

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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.