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Finding the Fourth Proportional to 463,245.90, 694,988.70 and 271,282.44

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Solution

The fourth proportional to 463,245.90, 694,988.70 and 271,282.44 is: 406,993.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,245.90 : 694,988.70 = 271,282.44 : x
  2. Step 2: Convert to fraction form
    463,245.90/694,988.70 = 271,282.44/x
  3. Step 3: Cross multiply
    463,245.90x = 694,988.70 × 271,282.44
  4. Step 4: Simplify right side
    463,245.90x = 188,538,230,308.43
  5. Step 5: Solve for x
    x = 188,538,230,308.43/463,245.90
  6. Step 6: Final answer
    x = 406,993.85

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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.