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Finding the Fourth Proportional to 568,711.80, 852,837.30 and 194,542.20

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Solution

The fourth proportional to 568,711.80, 852,837.30 and 194,542.20 is: 291,734.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,711.80 : 852,837.30 = 194,542.20 : x
  2. Step 2: Convert to fraction form
    568,711.80/852,837.30 = 194,542.20/x
  3. Step 3: Cross multiply
    568,711.80x = 852,837.30 × 194,542.20
  4. Step 4: Simplify right side
    568,711.80x = 165,912,844,584.06
  5. Step 5: Solve for x
    x = 165,912,844,584.06/568,711.80
  6. Step 6: Final answer
    x = 291,734.49

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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.