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Finding the Fourth Proportional to 327,232.60, 491,108.10 and 127,648.60

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Solution

The fourth proportional to 327,232.60, 491,108.10 and 127,648.60 is: 191,574.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,232.60 : 491,108.10 = 127,648.60 : x
  2. Step 2: Convert to fraction form
    327,232.60/491,108.10 = 127,648.60/x
  3. Step 3: Cross multiply
    327,232.60x = 491,108.10 × 127,648.60
  4. Step 4: Simplify right side
    327,232.60x = 62,689,261,413.66
  5. Step 5: Solve for x
    x = 62,689,261,413.66/327,232.60
  6. Step 6: Final answer
    x = 191,574.01

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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.