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Finding the Fourth Proportional to 361,370.88, 541,958.40 and 150,964.80

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Solution

The fourth proportional to 361,370.88, 541,958.40 and 150,964.80 is: 226,406.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,370.88 : 541,958.40 = 150,964.80 : x
  2. Step 2: Convert to fraction form
    361,370.88/541,958.40 = 150,964.80/x
  3. Step 3: Cross multiply
    361,370.88x = 541,958.40 × 150,964.80
  4. Step 4: Simplify right side
    361,370.88x = 81,816,641,464.32
  5. Step 5: Solve for x
    x = 81,816,641,464.32/361,370.88
  6. Step 6: Final answer
    x = 226,406.29

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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.