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Finding the Fourth Proportional to 843,896.80, 1,265,708.76 and 311,668.48

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Solution

The fourth proportional to 843,896.80, 1,265,708.76 and 311,668.48 is: 467,452.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,896.80 : 1,265,708.76 = 311,668.48 : x
  2. Step 2: Convert to fraction form
    843,896.80/1,265,708.76 = 311,668.48/x
  3. Step 3: Cross multiply
    843,896.80x = 1,265,708.76 × 311,668.48
  4. Step 4: Simplify right side
    843,896.80x = 394,481,525,351.89
  5. Step 5: Solve for x
    x = 394,481,525,351.89/843,896.80
  6. Step 6: Final answer
    x = 467,452.33

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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.