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Finding the Fourth Proportional to 332,998.44, 498,268.86 and 199,959.72

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Solution

The fourth proportional to 332,998.44, 498,268.86 and 199,959.72 is: 299,201.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,998.44 : 498,268.86 = 199,959.72 : x
  2. Step 2: Convert to fraction form
    332,998.44/498,268.86 = 199,959.72/x
  3. Step 3: Cross multiply
    332,998.44x = 498,268.86 × 199,959.72
  4. Step 4: Simplify right side
    332,998.44x = 99,633,701,730.32
  5. Step 5: Solve for x
    x = 99,633,701,730.32/332,998.44
  6. Step 6: Final answer
    x = 299,201.71

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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.