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Finding the Fourth Proportional to 399,226.80, 598,840.20 and 189,274.80

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Solution

The fourth proportional to 399,226.80, 598,840.20 and 189,274.80 is: 283,912.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,226.80 : 598,840.20 = 189,274.80 : x
  2. Step 2: Convert to fraction form
    399,226.80/598,840.20 = 189,274.80/x
  3. Step 3: Cross multiply
    399,226.80x = 598,840.20 × 189,274.80
  4. Step 4: Simplify right side
    399,226.80x = 113,345,359,086.96
  5. Step 5: Solve for x
    x = 113,345,359,086.96/399,226.80
  6. Step 6: Final answer
    x = 283,912.20

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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.