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Finding the Fourth Proportional to 327,745.17, 491,770.85 and 169,887.51

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Solution

The fourth proportional to 327,745.17, 491,770.85 and 169,887.51 is: 254,910.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,745.17 : 491,770.85 = 169,887.51 : x
  2. Step 2: Convert to fraction form
    327,745.17/491,770.85 = 169,887.51/x
  3. Step 3: Cross multiply
    327,745.17x = 491,770.85 × 169,887.51
  4. Step 4: Simplify right side
    327,745.17x = 83,545,724,347.65
  5. Step 5: Solve for x
    x = 83,545,724,347.65/327,745.17
  6. Step 6: Final answer
    x = 254,910.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.