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Finding the Fourth Proportional to 297,200.20, 410,129.46 and 169,868.20

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Solution

The fourth proportional to 297,200.20, 410,129.46 and 169,868.20 is: 234,414.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,200.20 : 410,129.46 = 169,868.20 : x
  2. Step 2: Convert to fraction form
    297,200.20/410,129.46 = 169,868.20/x
  3. Step 3: Cross multiply
    297,200.20x = 410,129.46 × 169,868.20
  4. Step 4: Simplify right side
    297,200.20x = 69,667,953,137.17
  5. Step 5: Solve for x
    x = 69,667,953,137.17/297,200.20
  6. Step 6: Final answer
    x = 234,414.22

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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.