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Finding the Fourth Proportional to 327,634.61, 491,452.11 and 90,977.31

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Solution

The fourth proportional to 327,634.61, 491,452.11 and 90,977.31 is: 136,466.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,634.61 : 491,452.11 = 90,977.31 : x
  2. Step 2: Convert to fraction form
    327,634.61/491,452.11 = 90,977.31/x
  3. Step 3: Cross multiply
    327,634.61x = 491,452.11 × 90,977.31
  4. Step 4: Simplify right side
    327,634.61x = 44,710,990,961.62
  5. Step 5: Solve for x
    x = 44,710,990,961.62/327,634.61
  6. Step 6: Final answer
    x = 136,466.02

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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.