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Finding the Fourth Proportional to 324,410.47, 447,687.41 and 181,175.94

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Solution

The fourth proportional to 324,410.47, 447,687.41 and 181,175.94 is: 250,023.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,410.47 : 447,687.41 = 181,175.94 : x
  2. Step 2: Convert to fraction form
    324,410.47/447,687.41 = 181,175.94/x
  3. Step 3: Cross multiply
    324,410.47x = 447,687.41 × 181,175.94
  4. Step 4: Simplify right side
    324,410.47x = 81,110,186,427.04
  5. Step 5: Solve for x
    x = 81,110,186,427.04/324,410.47
  6. Step 6: Final answer
    x = 250,023.33

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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.