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Finding the Fourth Proportional to 414,163.92, 571,408.72 and 337,551.28

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Solution

The fourth proportional to 414,163.92, 571,408.72 and 337,551.28 is: 465,708.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,163.92 : 571,408.72 = 337,551.28 : x
  2. Step 2: Convert to fraction form
    414,163.92/571,408.72 = 337,551.28/x
  3. Step 3: Cross multiply
    414,163.92x = 571,408.72 × 337,551.28
  4. Step 4: Simplify right side
    414,163.92x = 192,879,744,839.16
  5. Step 5: Solve for x
    x = 192,879,744,839.16/414,163.92
  6. Step 6: Final answer
    x = 465,708.71

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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.