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Finding the Fourth Proportional to 327,848.80, 491,427.60 and 187,304.80

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Solution

The fourth proportional to 327,848.80, 491,427.60 and 187,304.80 is: 280,759.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,848.80 : 491,427.60 = 187,304.80 : x
  2. Step 2: Convert to fraction form
    327,848.80/491,427.60 = 187,304.80/x
  3. Step 3: Cross multiply
    327,848.80x = 491,427.60 × 187,304.80
  4. Step 4: Simplify right side
    327,848.80x = 92,046,748,332.48
  5. Step 5: Solve for x
    x = 92,046,748,332.48/327,848.80
  6. Step 6: Final answer
    x = 280,759.75

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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.