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Finding the Fourth Proportional to 297,409.20, 410,425.22 and 161,443.25

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Solution

The fourth proportional to 297,409.20, 410,425.22 and 161,443.25 is: 222,791.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,409.20 : 410,425.22 = 161,443.25 : x
  2. Step 2: Convert to fraction form
    297,409.20/410,425.22 = 161,443.25/x
  3. Step 3: Cross multiply
    297,409.20x = 410,425.22 × 161,443.25
  4. Step 4: Simplify right side
    297,409.20x = 66,260,379,750.25
  5. Step 5: Solve for x
    x = 66,260,379,750.25/297,409.20
  6. Step 6: Final answer
    x = 222,791.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.