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Finding the Fourth Proportional to 419,977.20, 629,965.80 and 210,025.20

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Solution

The fourth proportional to 419,977.20, 629,965.80 and 210,025.20 is: 315,037.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,977.20 : 629,965.80 = 210,025.20 : x
  2. Step 2: Convert to fraction form
    419,977.20/629,965.80 = 210,025.20/x
  3. Step 3: Cross multiply
    419,977.20x = 629,965.80 × 210,025.20
  4. Step 4: Simplify right side
    419,977.20x = 132,308,693,138.16
  5. Step 5: Solve for x
    x = 132,308,693,138.16/419,977.20
  6. Step 6: Final answer
    x = 315,037.80

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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.