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Finding the Fourth Proportional to 463,766.82, 694,100.17 and 264,033.58

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Solution

The fourth proportional to 463,766.82, 694,100.17 and 264,033.58 is: 395,167.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,766.82 : 694,100.17 = 264,033.58 : x
  2. Step 2: Convert to fraction form
    463,766.82/694,100.17 = 264,033.58/x
  3. Step 3: Cross multiply
    463,766.82x = 694,100.17 × 264,033.58
  4. Step 4: Simplify right side
    463,766.82x = 183,265,752,763.71
  5. Step 5: Solve for x
    x = 183,265,752,763.71/463,766.82
  6. Step 6: Final answer
    x = 395,167.88

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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.