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Finding the Fourth Proportional to 324,132, 447,326.90 and 178,965.78

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Solution

The fourth proportional to 324,132, 447,326.90 and 178,965.78 is: 246,986.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,132 : 447,326.90 = 178,965.78 : x
  2. Step 2: Convert to fraction form
    324,132/447,326.90 = 178,965.78/x
  3. Step 3: Cross multiply
    324,132x = 447,326.90 × 178,965.78
  4. Step 4: Simplify right side
    324,132x = 80,056,207,573.48
  5. Step 5: Solve for x
    x = 80,056,207,573.48/324,132
  6. Step 6: Final answer
    x = 246,986.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.