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Finding the Fourth Proportional to 297,212.78, 410,153.64 and 169,891.14

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Solution

The fourth proportional to 297,212.78, 410,153.64 and 169,891.14 is: 234,449.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,212.78 : 410,153.64 = 169,891.14 : x
  2. Step 2: Convert to fraction form
    297,212.78/410,153.64 = 169,891.14/x
  3. Step 3: Cross multiply
    297,212.78x = 410,153.64 × 169,891.14
  4. Step 4: Simplify right side
    297,212.78x = 69,681,469,474.75
  5. Step 5: Solve for x
    x = 69,681,469,474.75/297,212.78
  6. Step 6: Final answer
    x = 234,449.78

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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.