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Finding the Fourth Proportional to 311,864.80, 467,797.20 and 193,766.80

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Solution

The fourth proportional to 311,864.80, 467,797.20 and 193,766.80 is: 290,650.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,864.80 : 467,797.20 = 193,766.80 : x
  2. Step 2: Convert to fraction form
    311,864.80/467,797.20 = 193,766.80/x
  3. Step 3: Cross multiply
    311,864.80x = 467,797.20 × 193,766.80
  4. Step 4: Simplify right side
    311,864.80x = 90,643,566,492.96
  5. Step 5: Solve for x
    x = 90,643,566,492.96/311,864.80
  6. Step 6: Final answer
    x = 290,650.20

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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.