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Finding the Fourth Proportional to 463,116.69, 639,135.36 and 259,188.03

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Solution

The fourth proportional to 463,116.69, 639,135.36 and 259,188.03 is: 357,698.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,116.69 : 639,135.36 = 259,188.03 : x
  2. Step 2: Convert to fraction form
    463,116.69/639,135.36 = 259,188.03/x
  3. Step 3: Cross multiply
    463,116.69x = 639,135.36 × 259,188.03
  4. Step 4: Simplify right side
    463,116.69x = 165,656,234,861.74
  5. Step 5: Solve for x
    x = 165,656,234,861.74/463,116.69
  6. Step 6: Final answer
    x = 357,698.69

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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.