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Finding the Fourth Proportional to 324,538.96, 447,831.56 and 181,295.92

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Solution

The fourth proportional to 324,538.96, 447,831.56 and 181,295.92 is: 250,170.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,538.96 : 447,831.56 = 181,295.92 : x
  2. Step 2: Convert to fraction form
    324,538.96/447,831.56 = 181,295.92/x
  3. Step 3: Cross multiply
    324,538.96x = 447,831.56 × 181,295.92
  4. Step 4: Simplify right side
    324,538.96x = 81,190,034,675.24
  5. Step 5: Solve for x
    x = 81,190,034,675.24/324,538.96
  6. Step 6: Final answer
    x = 250,170.38

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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.