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Finding the Fourth Proportional to 454,647.16, 682,167.42 and 244,039.24

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Solution

The fourth proportional to 454,647.16, 682,167.42 and 244,039.24 is: 366,164.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,647.16 : 682,167.42 = 244,039.24 : x
  2. Step 2: Convert to fraction form
    454,647.16/682,167.42 = 244,039.24/x
  3. Step 3: Cross multiply
    454,647.16x = 682,167.42 × 244,039.24
  4. Step 4: Simplify right side
    454,647.16x = 166,475,618,729.56
  5. Step 5: Solve for x
    x = 166,475,618,729.56/454,647.16
  6. Step 6: Final answer
    x = 366,164.43

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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.