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Finding the Fourth Proportional to 414,112.94, 621,183.22 and 114,568.44

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Solution

The fourth proportional to 414,112.94, 621,183.22 and 114,568.44 is: 171,856.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,112.94 : 621,183.22 = 114,568.44 : x
  2. Step 2: Convert to fraction form
    414,112.94/621,183.22 = 114,568.44/x
  3. Step 3: Cross multiply
    414,112.94x = 621,183.22 × 114,568.44
  4. Step 4: Simplify right side
    414,112.94x = 71,167,989,853.72
  5. Step 5: Solve for x
    x = 71,167,989,853.72/414,112.94
  6. Step 6: Final answer
    x = 171,856.47

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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.