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Finding the Fourth Proportional to 329,034.90, 493,224.30 and 151,231.80

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Solution

The fourth proportional to 329,034.90, 493,224.30 and 151,231.80 is: 226,696.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,034.90 : 493,224.30 = 151,231.80 : x
  2. Step 2: Convert to fraction form
    329,034.90/493,224.30 = 151,231.80/x
  3. Step 3: Cross multiply
    329,034.90x = 493,224.30 × 151,231.80
  4. Step 4: Simplify right side
    329,034.90x = 74,591,198,692.74
  5. Step 5: Solve for x
    x = 74,591,198,692.74/329,034.90
  6. Step 6: Final answer
    x = 226,696.92

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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.