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Finding the Fourth Proportional to 687,912.37, 949,406.63 and 415,982.24

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Solution

The fourth proportional to 687,912.37, 949,406.63 and 415,982.24 is: 574,108.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,912.37 : 949,406.63 = 415,982.24 : x
  2. Step 2: Convert to fraction form
    687,912.37/949,406.63 = 415,982.24/x
  3. Step 3: Cross multiply
    687,912.37x = 949,406.63 × 415,982.24
  4. Step 4: Simplify right side
    687,912.37x = 394,936,293,351.58
  5. Step 5: Solve for x
    x = 394,936,293,351.58/687,912.37
  6. Step 6: Final answer
    x = 574,108.43

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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.