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Finding the Fourth Proportional to 324,443.46, 447,687.74 and 181,185.24

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Solution

The fourth proportional to 324,443.46, 447,687.74 and 181,185.24 is: 250,010.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,443.46 : 447,687.74 = 181,185.24 : x
  2. Step 2: Convert to fraction form
    324,443.46/447,687.74 = 181,185.24/x
  3. Step 3: Cross multiply
    324,443.46x = 447,687.74 × 181,185.24
  4. Step 4: Simplify right side
    324,443.46x = 81,114,410,616.96
  5. Step 5: Solve for x
    x = 81,114,410,616.96/324,443.46
  6. Step 6: Final answer
    x = 250,010.93

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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.