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Finding the Fourth Proportional to 516,418.98, 774,454.32 and 196,494.90

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Solution

The fourth proportional to 516,418.98, 774,454.32 and 196,494.90 is: 294,676.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,418.98 : 774,454.32 = 196,494.90 : x
  2. Step 2: Convert to fraction form
    516,418.98/774,454.32 = 196,494.90/x
  3. Step 3: Cross multiply
    516,418.98x = 774,454.32 × 196,494.90
  4. Step 4: Simplify right side
    516,418.98x = 152,176,324,162.97
  5. Step 5: Solve for x
    x = 152,176,324,162.97/516,418.98
  6. Step 6: Final answer
    x = 294,676.09

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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.