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Finding the Fourth Proportional to 297,600.50, 410,691.65 and 161,637.11

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Solution

The fourth proportional to 297,600.50, 410,691.65 and 161,637.11 is: 223,060.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,600.50 : 410,691.65 = 161,637.11 : x
  2. Step 2: Convert to fraction form
    297,600.50/410,691.65 = 161,637.11/x
  3. Step 3: Cross multiply
    297,600.50x = 410,691.65 × 161,637.11
  4. Step 4: Simplify right side
    297,600.50x = 66,383,011,625.68
  5. Step 5: Solve for x
    x = 66,383,011,625.68/297,600.50
  6. Step 6: Final answer
    x = 223,060.82

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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.