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Finding the Fourth Proportional to 321,512.36, 443,692.38 and 178,278.44

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Solution

The fourth proportional to 321,512.36, 443,692.38 and 178,278.44 is: 246,027.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,512.36 : 443,692.38 = 178,278.44 : x
  2. Step 2: Convert to fraction form
    321,512.36/443,692.38 = 178,278.44/x
  3. Step 3: Cross multiply
    321,512.36x = 443,692.38 × 178,278.44
  4. Step 4: Simplify right side
    321,512.36x = 79,100,785,346.29
  5. Step 5: Solve for x
    x = 79,100,785,346.29/321,512.36
  6. Step 6: Final answer
    x = 246,027.20

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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.