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Finding the Fourth Proportional to 269,564.60, 404,346.90 and 185,583.80

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Solution

The fourth proportional to 269,564.60, 404,346.90 and 185,583.80 is: 278,375.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,564.60 : 404,346.90 = 185,583.80 : x
  2. Step 2: Convert to fraction form
    269,564.60/404,346.90 = 185,583.80/x
  3. Step 3: Cross multiply
    269,564.60x = 404,346.90 × 185,583.80
  4. Step 4: Simplify right side
    269,564.60x = 75,040,234,220.22
  5. Step 5: Solve for x
    x = 75,040,234,220.22/269,564.60
  6. Step 6: Final answer
    x = 278,375.70

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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.