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Finding the Fourth Proportional to 297,402.88, 410,404.84 and 161,433.90

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Solution

The fourth proportional to 297,402.88, 410,404.84 and 161,433.90 is: 222,772.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,402.88 : 410,404.84 = 161,433.90 : x
  2. Step 2: Convert to fraction form
    297,402.88/410,404.84 = 161,433.90/x
  3. Step 3: Cross multiply
    297,402.88x = 410,404.84 × 161,433.90
  4. Step 4: Simplify right side
    297,402.88x = 66,253,253,900.08
  5. Step 5: Solve for x
    x = 66,253,253,900.08/297,402.88
  6. Step 6: Final answer
    x = 222,772.74

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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.