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Finding the Fourth Proportional to 327,288.25, 451,663.25 and 214,111

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Solution

The fourth proportional to 327,288.25, 451,663.25 and 214,111 is: 295,476.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,288.25 : 451,663.25 = 214,111 : x
  2. Step 2: Convert to fraction form
    327,288.25/451,663.25 = 214,111/x
  3. Step 3: Cross multiply
    327,288.25x = 451,663.25 × 214,111
  4. Step 4: Simplify right side
    327,288.25x = 96,706,070,120.75
  5. Step 5: Solve for x
    x = 96,706,070,120.75/327,288.25
  6. Step 6: Final answer
    x = 295,476.76

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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.