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Finding the Fourth Proportional to 436,924.20, 654,074.10 and 259,339.80

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Solution

The fourth proportional to 436,924.20, 654,074.10 and 259,339.80 is: 388,230.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,924.20 : 654,074.10 = 259,339.80 : x
  2. Step 2: Convert to fraction form
    436,924.20/654,074.10 = 259,339.80/x
  3. Step 3: Cross multiply
    436,924.20x = 654,074.10 × 259,339.80
  4. Step 4: Simplify right side
    436,924.20x = 169,627,446,279.18
  5. Step 5: Solve for x
    x = 169,627,446,279.18/436,924.20
  6. Step 6: Final answer
    x = 388,230.83

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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.