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Finding the Fourth Proportional to 415,339.20, 622,778.40 and 165,739.20

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Solution

The fourth proportional to 415,339.20, 622,778.40 and 165,739.20 is: 248,516.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,339.20 : 622,778.40 = 165,739.20 : x
  2. Step 2: Convert to fraction form
    415,339.20/622,778.40 = 165,739.20/x
  3. Step 3: Cross multiply
    415,339.20x = 622,778.40 × 165,739.20
  4. Step 4: Simplify right side
    415,339.20x = 103,218,793,793.28
  5. Step 5: Solve for x
    x = 103,218,793,793.28/415,339.20
  6. Step 6: Final answer
    x = 248,516.86

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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.