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Finding the Fourth Proportional to 269,764.70, 404,647.05 and 185,783.90

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Solution

The fourth proportional to 269,764.70, 404,647.05 and 185,783.90 is: 278,675.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,764.70 : 404,647.05 = 185,783.90 : x
  2. Step 2: Convert to fraction form
    269,764.70/404,647.05 = 185,783.90/x
  3. Step 3: Cross multiply
    269,764.70x = 404,647.05 × 185,783.90
  4. Step 4: Simplify right side
    269,764.70x = 75,176,907,072.50
  5. Step 5: Solve for x
    x = 75,176,907,072.50/269,764.70
  6. Step 6: Final answer
    x = 278,675.85

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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.