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Finding the Fourth Proportional to 414,201.62, 621,199.63 and 177,517.46

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Solution

The fourth proportional to 414,201.62, 621,199.63 and 177,517.46 is: 266,232.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,201.62 : 621,199.63 = 177,517.46 : x
  2. Step 2: Convert to fraction form
    414,201.62/621,199.63 = 177,517.46/x
  3. Step 3: Cross multiply
    414,201.62x = 621,199.63 × 177,517.46
  4. Step 4: Simplify right side
    414,201.62x = 110,273,780,470.54
  5. Step 5: Solve for x
    x = 110,273,780,470.54/414,201.62
  6. Step 6: Final answer
    x = 266,232.13

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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.