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Finding the Fourth Proportional to 327,891.80, 491,837.70 and 161,658.20

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Solution

The fourth proportional to 327,891.80, 491,837.70 and 161,658.20 is: 242,487.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,891.80 : 491,837.70 = 161,658.20 : x
  2. Step 2: Convert to fraction form
    327,891.80/491,837.70 = 161,658.20/x
  3. Step 3: Cross multiply
    327,891.80x = 491,837.70 × 161,658.20
  4. Step 4: Simplify right side
    327,891.80x = 79,509,597,274.14
  5. Step 5: Solve for x
    x = 79,509,597,274.14/327,891.80
  6. Step 6: Final answer
    x = 242,487.30

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1.5x scale

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.