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Finding the Fourth Proportional to 324,078.52, 486,288.47 and 166,306.97

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Solution

The fourth proportional to 324,078.52, 486,288.47 and 166,306.97 is: 249,548.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,078.52 : 486,288.47 = 166,306.97 : x
  2. Step 2: Convert to fraction form
    324,078.52/486,288.47 = 166,306.97/x
  3. Step 3: Cross multiply
    324,078.52x = 486,288.47 × 166,306.97
  4. Step 4: Simplify right side
    324,078.52x = 80,873,161,991.64
  5. Step 5: Solve for x
    x = 80,873,161,991.64/324,078.52
  6. Step 6: Final answer
    x = 249,548.05

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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.