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Finding the Fourth Proportional to 414,112.98, 621,183.28 and 114,568.46

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Solution

The fourth proportional to 414,112.98, 621,183.28 and 114,568.46 is: 171,856.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,112.98 : 621,183.28 = 114,568.46 : x
  2. Step 2: Convert to fraction form
    414,112.98/621,183.28 = 114,568.46/x
  3. Step 3: Cross multiply
    414,112.98x = 621,183.28 × 114,568.46
  4. Step 4: Simplify right side
    414,112.98x = 71,168,011,767.35
  5. Step 5: Solve for x
    x = 71,168,011,767.35/414,112.98
  6. Step 6: Final answer
    x = 171,856.51

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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.