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Finding the Fourth Proportional to 414,718.35, 622,121.67 and 115,199.52

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Solution

The fourth proportional to 414,718.35, 622,121.67 and 115,199.52 is: 172,811.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,718.35 : 622,121.67 = 115,199.52 : x
  2. Step 2: Convert to fraction form
    414,718.35/622,121.67 = 115,199.52/x
  3. Step 3: Cross multiply
    414,718.35x = 622,121.67 × 115,199.52
  4. Step 4: Simplify right side
    414,718.35x = 71,668,117,765.60
  5. Step 5: Solve for x
    x = 71,668,117,765.60/414,718.35
  6. Step 6: Final answer
    x = 172,811.54

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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.