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Finding the Fourth Proportional to 323,959.39, 447,076.14 and 180,747.12

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Solution

The fourth proportional to 323,959.39, 447,076.14 and 180,747.12 is: 249,437.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,959.39 : 447,076.14 = 180,747.12 : x
  2. Step 2: Convert to fraction form
    323,959.39/447,076.14 = 180,747.12/x
  3. Step 3: Cross multiply
    323,959.39x = 447,076.14 × 180,747.12
  4. Step 4: Simplify right side
    323,959.39x = 80,807,724,725.72
  5. Step 5: Solve for x
    x = 80,807,724,725.72/323,959.39
  6. Step 6: Final answer
    x = 249,437.82

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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.