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Finding the Fourth Proportional to 347,769.20, 522,042.60 and 269,231.60

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Solution

The fourth proportional to 347,769.20, 522,042.60 and 269,231.60 is: 404,148.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,769.20 : 522,042.60 = 269,231.60 : x
  2. Step 2: Convert to fraction form
    347,769.20/522,042.60 = 269,231.60/x
  3. Step 3: Cross multiply
    347,769.20x = 522,042.60 × 269,231.60
  4. Step 4: Simplify right side
    347,769.20x = 140,550,364,466.16
  5. Step 5: Solve for x
    x = 140,550,364,466.16/347,769.20
  6. Step 6: Final answer
    x = 404,148.40

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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.