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Finding the Fourth Proportional to 327,611.82, 491,362.92 and 90,978.42

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Solution

The fourth proportional to 327,611.82, 491,362.92 and 90,978.42 is: 136,452.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,611.82 : 491,362.92 = 90,978.42 : x
  2. Step 2: Convert to fraction form
    327,611.82/491,362.92 = 90,978.42/x
  3. Step 3: Cross multiply
    327,611.82x = 491,362.92 × 90,978.42
  4. Step 4: Simplify right side
    327,611.82x = 44,703,422,108.19
  5. Step 5: Solve for x
    x = 44,703,422,108.19/327,611.82
  6. Step 6: Final answer
    x = 136,452.41

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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.