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Finding the Fourth Proportional to 415,471.20, 622,285.20 and 166,024.80

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Solution

The fourth proportional to 415,471.20, 622,285.20 and 166,024.80 is: 248,668.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,471.20 : 622,285.20 = 166,024.80 : x
  2. Step 2: Convert to fraction form
    415,471.20/622,285.20 = 166,024.80/x
  3. Step 3: Cross multiply
    415,471.20x = 622,285.20 × 166,024.80
  4. Step 4: Simplify right side
    415,471.20x = 103,314,775,872.96
  5. Step 5: Solve for x
    x = 103,314,775,872.96/415,471.20
  6. Step 6: Final answer
    x = 248,668.92

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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.