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Finding the Fourth Proportional to 324,698.80, 447,794.22 and 203,851.36

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Solution

The fourth proportional to 324,698.80, 447,794.22 and 203,851.36 is: 281,132.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,698.80 : 447,794.22 = 203,851.36 : x
  2. Step 2: Convert to fraction form
    324,698.80/447,794.22 = 203,851.36/x
  3. Step 3: Cross multiply
    324,698.80x = 447,794.22 × 203,851.36
  4. Step 4: Simplify right side
    324,698.80x = 91,283,460,747.14
  5. Step 5: Solve for x
    x = 91,283,460,747.14/324,698.80
  6. Step 6: Final answer
    x = 281,132.73

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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.