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Finding the Fourth Proportional to 414,902.20, 622,122.90 and 165,302.20

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Solution

The fourth proportional to 414,902.20, 622,122.90 and 165,302.20 is: 247,861.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,902.20 : 622,122.90 = 165,302.20 : x
  2. Step 2: Convert to fraction form
    414,902.20/622,122.90 = 165,302.20/x
  3. Step 3: Cross multiply
    414,902.20x = 622,122.90 × 165,302.20
  4. Step 4: Simplify right side
    414,902.20x = 102,838,284,040.38
  5. Step 5: Solve for x
    x = 102,838,284,040.38/414,902.20
  6. Step 6: Final answer
    x = 247,861.51

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1.5x scale

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.