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Finding the Fourth Proportional to 447,959.97, 671,972.76 and 178,193.52

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Solution

The fourth proportional to 447,959.97, 671,972.76 and 178,193.52 is: 267,303.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,959.97 : 671,972.76 = 178,193.52 : x
  2. Step 2: Convert to fraction form
    447,959.97/671,972.76 = 178,193.52/x
  3. Step 3: Cross multiply
    447,959.97x = 671,972.76 × 178,193.52
  4. Step 4: Simplify right side
    447,959.97x = 119,741,191,448.52
  5. Step 5: Solve for x
    x = 119,741,191,448.52/447,959.97
  6. Step 6: Final answer
    x = 267,303.33

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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.