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Finding the Fourth Proportional to 332,067, 498,100.50 and 110,451

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Solution

The fourth proportional to 332,067, 498,100.50 and 110,451 is: 165,676.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,067 : 498,100.50 = 110,451 : x
  2. Step 2: Convert to fraction form
    332,067/498,100.50 = 110,451/x
  3. Step 3: Cross multiply
    332,067x = 498,100.50 × 110,451
  4. Step 4: Simplify right side
    332,067x = 55,015,698,325.50
  5. Step 5: Solve for x
    x = 55,015,698,325.50/332,067
  6. Step 6: Final answer
    x = 165,676.50

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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.