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Finding the Fourth Proportional to 324,078.96, 447,251.56 and 180,841.38

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Solution

The fourth proportional to 324,078.96, 447,251.56 and 180,841.38 is: 249,573.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,078.96 : 447,251.56 = 180,841.38 : x
  2. Step 2: Convert to fraction form
    324,078.96/447,251.56 = 180,841.38/x
  3. Step 3: Cross multiply
    324,078.96x = 447,251.56 × 180,841.38
  4. Step 4: Simplify right side
    324,078.96x = 80,881,589,317.55
  5. Step 5: Solve for x
    x = 80,881,589,317.55/324,078.96
  6. Step 6: Final answer
    x = 249,573.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.