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Finding the Fourth Proportional to 323,993.82, 447,105.21 and 178,813.26

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Solution

The fourth proportional to 323,993.82, 447,105.21 and 178,813.26 is: 246,758.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,993.82 : 447,105.21 = 178,813.26 : x
  2. Step 2: Convert to fraction form
    323,993.82/447,105.21 = 178,813.26/x
  3. Step 3: Cross multiply
    323,993.82x = 447,105.21 × 178,813.26
  4. Step 4: Simplify right side
    323,993.82x = 79,948,340,163.08
  5. Step 5: Solve for x
    x = 79,948,340,163.08/323,993.82
  6. Step 6: Final answer
    x = 246,758.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.