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Finding the Fourth Proportional to 463,247.80, 694,991.48 and 271,284.32

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Solution

The fourth proportional to 463,247.80, 694,991.48 and 271,284.32 is: 406,996.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,247.80 : 694,991.48 = 271,284.32 : x
  2. Step 2: Convert to fraction form
    463,247.80/694,991.48 = 271,284.32/x
  3. Step 3: Cross multiply
    463,247.80x = 694,991.48 × 271,284.32
  4. Step 4: Simplify right side
    463,247.80x = 188,540,291,057.59
  5. Step 5: Solve for x
    x = 188,540,291,057.59/463,247.80
  6. Step 6: Final answer
    x = 406,996.62

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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.