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Finding the Fourth Proportional to 323,956.72, 447,057.22 and 178,763.84

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Solution

The fourth proportional to 323,956.72, 447,057.22 and 178,763.84 is: 246,692.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,956.72 : 447,057.22 = 178,763.84 : x
  2. Step 2: Convert to fraction form
    323,956.72/447,057.22 = 178,763.84/x
  3. Step 3: Cross multiply
    323,956.72x = 447,057.22 × 178,763.84
  4. Step 4: Simplify right side
    323,956.72x = 79,917,664,453.11
  5. Step 5: Solve for x
    x = 79,917,664,453.11/323,956.72
  6. Step 6: Final answer
    x = 246,692.41

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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.