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Finding the Fourth Proportional to 269,564.20, 403,504.88 and 198,566.88

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Solution

The fourth proportional to 269,564.20, 403,504.88 and 198,566.88 is: 297,230.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,564.20 : 403,504.88 = 198,566.88 : x
  2. Step 2: Convert to fraction form
    269,564.20/403,504.88 = 198,566.88/x
  3. Step 3: Cross multiply
    269,564.20x = 403,504.88 × 198,566.88
  4. Step 4: Simplify right side
    269,564.20x = 80,122,705,086.37
  5. Step 5: Solve for x
    x = 80,122,705,086.37/269,564.20
  6. Step 6: Final answer
    x = 297,230.51

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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.