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Finding the Fourth Proportional to 327,337.60, 491,294.40 and 194,051.20

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Solution

The fourth proportional to 327,337.60, 491,294.40 and 194,051.20 is: 291,247.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,337.60 : 491,294.40 = 194,051.20 : x
  2. Step 2: Convert to fraction form
    327,337.60/491,294.40 = 194,051.20/x
  3. Step 3: Cross multiply
    327,337.60x = 491,294.40 × 194,051.20
  4. Step 4: Simplify right side
    327,337.60x = 95,336,267,873.28
  5. Step 5: Solve for x
    x = 95,336,267,873.28/327,337.60
  6. Step 6: Final answer
    x = 291,247.53

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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.