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Finding the Fourth Proportional to 361,304.31, 541,956.48 and 150,827.43

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Solution

The fourth proportional to 361,304.31, 541,956.48 and 150,827.43 is: 226,241.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,304.31 : 541,956.48 = 150,827.43 : x
  2. Step 2: Convert to fraction form
    361,304.31/541,956.48 = 150,827.43/x
  3. Step 3: Cross multiply
    361,304.31x = 541,956.48 × 150,827.43
  4. Step 4: Simplify right side
    361,304.31x = 81,741,903,050.25
  5. Step 5: Solve for x
    x = 81,741,903,050.25/361,304.31
  6. Step 6: Final answer
    x = 226,241.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.