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Finding the Fourth Proportional to 465,649.43, 701,585.67 and 420,722.97

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Solution

The fourth proportional to 465,649.43, 701,585.67 and 420,722.97 is: 633,895.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,649.43 : 701,585.67 = 420,722.97 : x
  2. Step 2: Convert to fraction form
    465,649.43/701,585.67 = 420,722.97/x
  3. Step 3: Cross multiply
    465,649.43x = 701,585.67 × 420,722.97
  4. Step 4: Simplify right side
    465,649.43x = 295,173,206,791.84
  5. Step 5: Solve for x
    x = 295,173,206,791.84/465,649.43
  6. Step 6: Final answer
    x = 633,895.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.