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Finding the Fourth Proportional to 632,509.20, 948,763.80 and 419,932.80

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Solution

The fourth proportional to 632,509.20, 948,763.80 and 419,932.80 is: 629,899.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,509.20 : 948,763.80 = 419,932.80 : x
  2. Step 2: Convert to fraction form
    632,509.20/948,763.80 = 419,932.80/x
  3. Step 3: Cross multiply
    632,509.20x = 948,763.80 × 419,932.80
  4. Step 4: Simplify right side
    632,509.20x = 398,417,039,072.64
  5. Step 5: Solve for x
    x = 398,417,039,072.64/632,509.20
  6. Step 6: Final answer
    x = 629,899.20

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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.