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Finding the Fourth Proportional to 463,074.59, 639,021.21 and 259,151.42

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Solution

The fourth proportional to 463,074.59, 639,021.21 and 259,151.42 is: 357,616.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,074.59 : 639,021.21 = 259,151.42 : x
  2. Step 2: Convert to fraction form
    463,074.59/639,021.21 = 259,151.42/x
  3. Step 3: Cross multiply
    463,074.59x = 639,021.21 × 259,151.42
  4. Step 4: Simplify right side
    463,074.59x = 165,603,253,981.62
  5. Step 5: Solve for x
    x = 165,603,253,981.62/463,074.59
  6. Step 6: Final answer
    x = 357,616.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.