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Finding the Fourth Proportional to 297,411.20, 410,427.98 and 161,445.25

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Solution

The fourth proportional to 297,411.20, 410,427.98 and 161,445.25 is: 222,794.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,411.20 : 410,427.98 = 161,445.25 : x
  2. Step 2: Convert to fraction form
    297,411.20/410,427.98 = 161,445.25/x
  3. Step 3: Cross multiply
    297,411.20x = 410,427.98 × 161,445.25
  4. Step 4: Simplify right side
    297,411.20x = 66,261,647,838.10
  5. Step 5: Solve for x
    x = 66,261,647,838.10/297,411.20
  6. Step 6: Final answer
    x = 222,794.73

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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.