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Finding the Fourth Proportional to 327,430.36, 491,333.82 and 137,875.78

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Solution

The fourth proportional to 327,430.36, 491,333.82 and 137,875.78 is: 206,892.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,430.36 : 491,333.82 = 137,875.78 : x
  2. Step 2: Convert to fraction form
    327,430.36/491,333.82 = 137,875.78/x
  3. Step 3: Cross multiply
    327,430.36x = 491,333.82 × 137,875.78
  4. Step 4: Simplify right side
    327,430.36x = 67,743,033,672.88
  5. Step 5: Solve for x
    x = 67,743,033,672.88/327,430.36
  6. Step 6: Final answer
    x = 206,892.95

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