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Finding the Fourth Proportional to 447,960.97, 671,974.26 and 178,194.52

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Solution

The fourth proportional to 447,960.97, 671,974.26 and 178,194.52 is: 267,304.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,960.97 : 671,974.26 = 178,194.52 : x
  2. Step 2: Convert to fraction form
    447,960.97/671,974.26 = 178,194.52/x
  3. Step 3: Cross multiply
    447,960.97x = 671,974.26 × 178,194.52
  4. Step 4: Simplify right side
    447,960.97x = 119,742,130,713.06
  5. Step 5: Solve for x
    x = 119,742,130,713.06/447,960.97
  6. Step 6: Final answer
    x = 267,304.83

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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.