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Finding the Fourth Proportional to 463,149.54, 639,157.80 and 259,198.86

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Solution

The fourth proportional to 463,149.54, 639,157.80 and 259,198.86 is: 357,700.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,149.54 : 639,157.80 = 259,198.86 : x
  2. Step 2: Convert to fraction form
    463,149.54/639,157.80 = 259,198.86/x
  3. Step 3: Cross multiply
    463,149.54x = 639,157.80 × 259,198.86
  4. Step 4: Simplify right side
    463,149.54x = 165,668,973,120.11
  5. Step 5: Solve for x
    x = 165,668,973,120.11/463,149.54
  6. Step 6: Final answer
    x = 357,700.83

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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.