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Finding the Fourth Proportional to 465,399.09, 642,180.78 and 261,410.94

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Solution

The fourth proportional to 465,399.09, 642,180.78 and 261,410.94 is: 360,707.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,399.09 : 642,180.78 = 261,410.94 : x
  2. Step 2: Convert to fraction form
    465,399.09/642,180.78 = 261,410.94/x
  3. Step 3: Cross multiply
    465,399.09x = 642,180.78 × 261,410.94
  4. Step 4: Simplify right side
    465,399.09x = 167,873,081,349.73
  5. Step 5: Solve for x
    x = 167,873,081,349.73/465,399.09
  6. Step 6: Final answer
    x = 360,707.80

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