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Finding the Fourth Proportional to 360,823.20, 541,234.80 and 150,433.80

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Solution

The fourth proportional to 360,823.20, 541,234.80 and 150,433.80 is: 225,650.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,823.20 : 541,234.80 = 150,433.80 : x
  2. Step 2: Convert to fraction form
    360,823.20/541,234.80 = 150,433.80/x
  3. Step 3: Cross multiply
    360,823.20x = 541,234.80 × 150,433.80
  4. Step 4: Simplify right side
    360,823.20x = 81,420,007,656.24
  5. Step 5: Solve for x
    x = 81,420,007,656.24/360,823.20
  6. Step 6: Final answer
    x = 225,650.70

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