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Finding the Fourth Proportional to 419,723.20, 629,584.80 and 354,769.30

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Solution

The fourth proportional to 419,723.20, 629,584.80 and 354,769.30 is: 532,153.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,723.20 : 629,584.80 = 354,769.30 : x
  2. Step 2: Convert to fraction form
    419,723.20/629,584.80 = 354,769.30/x
  3. Step 3: Cross multiply
    419,723.20x = 629,584.80 × 354,769.30
  4. Step 4: Simplify right side
    419,723.20x = 223,357,358,786.64
  5. Step 5: Solve for x
    x = 223,357,358,786.64/419,723.20
  6. Step 6: Final answer
    x = 532,153.95

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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.