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Finding the Fourth Proportional to 543,410.60, 815,730.30 and 419,301.80

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Solution

The fourth proportional to 543,410.60, 815,730.30 and 419,301.80 is: 629,426.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,410.60 : 815,730.30 = 419,301.80 : x
  2. Step 2: Convert to fraction form
    543,410.60/815,730.30 = 419,301.80/x
  3. Step 3: Cross multiply
    543,410.60x = 815,730.30 × 419,301.80
  4. Step 4: Simplify right side
    543,410.60x = 342,037,183,104.54
  5. Step 5: Solve for x
    x = 342,037,183,104.54/543,410.60
  6. Step 6: Final answer
    x = 629,426.78

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Why These Related Problems?

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