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Finding the Fourth Proportional to 471,945.98, 707,369.75 and 269,683.85

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Solution

The fourth proportional to 471,945.98, 707,369.75 and 269,683.85 is: 404,211.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,945.98 : 707,369.75 = 269,683.85 : x
  2. Step 2: Convert to fraction form
    471,945.98/707,369.75 = 269,683.85/x
  3. Step 3: Cross multiply
    471,945.98x = 707,369.75 × 269,683.85
  4. Step 4: Simplify right side
    471,945.98x = 190,766,198,984.86
  5. Step 5: Solve for x
    x = 190,766,198,984.86/471,945.98
  6. Step 6: Final answer
    x = 404,211.94

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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.