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Finding the Fourth Proportional to 415,188.20, 622,749.90 and 162,419.60

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Solution

The fourth proportional to 415,188.20, 622,749.90 and 162,419.60 is: 243,616.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,188.20 : 622,749.90 = 162,419.60 : x
  2. Step 2: Convert to fraction form
    415,188.20/622,749.90 = 162,419.60/x
  3. Step 3: Cross multiply
    415,188.20x = 622,749.90 × 162,419.60
  4. Step 4: Simplify right side
    415,188.20x = 101,146,789,658.04
  5. Step 5: Solve for x
    x = 101,146,789,658.04/415,188.20
  6. Step 6: Final answer
    x = 243,616.73

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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.