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Finding the Fourth Proportional to 269,149.60, 403,724.40 and 198,647.20

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Solution

The fourth proportional to 269,149.60, 403,724.40 and 198,647.20 is: 297,970.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,149.60 : 403,724.40 = 198,647.20 : x
  2. Step 2: Convert to fraction form
    269,149.60/403,724.40 = 198,647.20/x
  3. Step 3: Cross multiply
    269,149.60x = 403,724.40 × 198,647.20
  4. Step 4: Simplify right side
    269,149.60x = 80,198,721,631.68
  5. Step 5: Solve for x
    x = 80,198,721,631.68/269,149.60
  6. Step 6: Final answer
    x = 297,970.80

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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.