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Finding the Fourth Proportional to 437,536.20, 654,992.10 and 259,951.80

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Solution

The fourth proportional to 437,536.20, 654,992.10 and 259,951.80 is: 389,148.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,536.20 : 654,992.10 = 259,951.80 : x
  2. Step 2: Convert to fraction form
    437,536.20/654,992.10 = 259,951.80/x
  3. Step 3: Cross multiply
    437,536.20x = 654,992.10 × 259,951.80
  4. Step 4: Simplify right side
    437,536.20x = 170,266,375,380.78
  5. Step 5: Solve for x
    x = 170,266,375,380.78/437,536.20
  6. Step 6: Final answer
    x = 389,148.09

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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.