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Finding the Fourth Proportional to 524,793.90, 787,190.85 and 419,817.90

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Solution

The fourth proportional to 524,793.90, 787,190.85 and 419,817.90 is: 629,726.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,793.90 : 787,190.85 = 419,817.90 : x
  2. Step 2: Convert to fraction form
    524,793.90/787,190.85 = 419,817.90/x
  3. Step 3: Cross multiply
    524,793.90x = 787,190.85 × 419,817.90
  4. Step 4: Simplify right side
    524,793.90x = 330,476,809,546.22
  5. Step 5: Solve for x
    x = 330,476,809,546.22/524,793.90
  6. Step 6: Final answer
    x = 629,726.85

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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.