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Finding the Fourth Proportional to 327,287.25, 451,661.87 and 214,110

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Solution

The fourth proportional to 327,287.25, 451,661.87 and 214,110 is: 295,475.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,287.25 : 451,661.87 = 214,110 : x
  2. Step 2: Convert to fraction form
    327,287.25/451,661.87 = 214,110/x
  3. Step 3: Cross multiply
    327,287.25x = 451,661.87 × 214,110
  4. Step 4: Simplify right side
    327,287.25x = 96,705,323,520.98
  5. Step 5: Solve for x
    x = 96,705,323,520.98/327,287.25
  6. Step 6: Final answer
    x = 295,475.38

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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.