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Finding the Fourth Proportional to 269,750.40, 404,625.60 and 185,769.60

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Solution

The fourth proportional to 269,750.40, 404,625.60 and 185,769.60 is: 278,654.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,750.40 : 404,625.60 = 185,769.60 : x
  2. Step 2: Convert to fraction form
    269,750.40/404,625.60 = 185,769.60/x
  3. Step 3: Cross multiply
    269,750.40x = 404,625.60 × 185,769.60
  4. Step 4: Simplify right side
    269,750.40x = 75,167,135,861.76
  5. Step 5: Solve for x
    x = 75,167,135,861.76/269,750.40
  6. Step 6: Final answer
    x = 278,654.40

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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.