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Finding the Fourth Proportional to 415,040.20, 622,560.30 and 204,650.80

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Solution

The fourth proportional to 415,040.20, 622,560.30 and 204,650.80 is: 306,976.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,040.20 : 622,560.30 = 204,650.80 : x
  2. Step 2: Convert to fraction form
    415,040.20/622,560.30 = 204,650.80/x
  3. Step 3: Cross multiply
    415,040.20x = 622,560.30 × 204,650.80
  4. Step 4: Simplify right side
    415,040.20x = 127,407,463,443.24
  5. Step 5: Solve for x
    x = 127,407,463,443.24/415,040.20
  6. Step 6: Final answer
    x = 306,976.20

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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.