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Finding the Fourth Proportional to 465,809.96, 642,778.24 and 261,845.48

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Solution

The fourth proportional to 465,809.96, 642,778.24 and 261,845.48 is: 361,324.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,809.96 : 642,778.24 = 261,845.48 : x
  2. Step 2: Convert to fraction form
    465,809.96/642,778.24 = 261,845.48/x
  3. Step 3: Cross multiply
    465,809.96x = 642,778.24 × 261,845.48
  4. Step 4: Simplify right side
    465,809.96x = 168,308,576,786.36
  5. Step 5: Solve for x
    x = 168,308,576,786.36/465,809.96
  6. Step 6: Final answer
    x = 361,324.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.