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Finding the Fourth Proportional to 631,142.40, 945,158.40 and 419,635.20

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Solution

The fourth proportional to 631,142.40, 945,158.40 and 419,635.20 is: 628,418.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,142.40 : 945,158.40 = 419,635.20 : x
  2. Step 2: Convert to fraction form
    631,142.40/945,158.40 = 419,635.20/x
  3. Step 3: Cross multiply
    631,142.40x = 945,158.40 × 419,635.20
  4. Step 4: Simplify right side
    631,142.40x = 396,621,734,215.68
  5. Step 5: Solve for x
    x = 396,621,734,215.68/631,142.40
  6. Step 6: Final answer
    x = 628,418.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.