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Finding the Fourth Proportional to 300,515.38, 414,722.40 and 171,474.87

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Solution

The fourth proportional to 300,515.38, 414,722.40 and 171,474.87 is: 236,641.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,515.38 : 414,722.40 = 171,474.87 : x
  2. Step 2: Convert to fraction form
    300,515.38/414,722.40 = 171,474.87/x
  3. Step 3: Cross multiply
    300,515.38x = 414,722.40 × 171,474.87
  4. Step 4: Simplify right side
    300,515.38x = 71,114,469,626.09
  5. Step 5: Solve for x
    x = 71,114,469,626.09/300,515.38
  6. Step 6: Final answer
    x = 236,641.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.