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Finding the Fourth Proportional to 324,077, 486,091.02 and 113,729

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Solution

The fourth proportional to 324,077, 486,091.02 and 113,729 is: 170,584.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,077 : 486,091.02 = 113,729 : x
  2. Step 2: Convert to fraction form
    324,077/486,091.02 = 113,729/x
  3. Step 3: Cross multiply
    324,077x = 486,091.02 × 113,729
  4. Step 4: Simplify right side
    324,077x = 55,282,645,613.58
  5. Step 5: Solve for x
    x = 55,282,645,613.58/324,077
  6. Step 6: Final answer
    x = 170,584.91

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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.