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Finding the Fourth Proportional to 310,512.80, 465,769.20 and 204,224.60

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Solution

The fourth proportional to 310,512.80, 465,769.20 and 204,224.60 is: 306,336.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,512.80 : 465,769.20 = 204,224.60 : x
  2. Step 2: Convert to fraction form
    310,512.80/465,769.20 = 204,224.60/x
  3. Step 3: Cross multiply
    310,512.80x = 465,769.20 × 204,224.60
  4. Step 4: Simplify right side
    310,512.80x = 95,121,528,562.32
  5. Step 5: Solve for x
    x = 95,121,528,562.32/310,512.80
  6. Step 6: Final answer
    x = 306,336.90

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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.