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Finding the Fourth Proportional to 463,233.36, 694,969.83 and 271,269.90

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Solution

The fourth proportional to 463,233.36, 694,969.83 and 271,269.90 is: 406,975.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,233.36 : 694,969.83 = 271,269.90 : x
  2. Step 2: Convert to fraction form
    463,233.36/694,969.83 = 271,269.90/x
  3. Step 3: Cross multiply
    463,233.36x = 694,969.83 × 271,269.90
  4. Step 4: Simplify right side
    463,233.36x = 188,524,396,287.12
  5. Step 5: Solve for x
    x = 188,524,396,287.12/463,233.36
  6. Step 6: Final answer
    x = 406,975.00

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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.