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Finding the Fourth Proportional to 412,233.40, 618,350.10 and 342,249.40

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Solution

The fourth proportional to 412,233.40, 618,350.10 and 342,249.40 is: 513,374.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,233.40 : 618,350.10 = 342,249.40 : x
  2. Step 2: Convert to fraction form
    412,233.40/618,350.10 = 342,249.40/x
  3. Step 3: Cross multiply
    412,233.40x = 618,350.10 × 342,249.40
  4. Step 4: Simplify right side
    412,233.40x = 211,629,950,714.94
  5. Step 5: Solve for x
    x = 211,629,950,714.94/412,233.40
  6. Step 6: Final answer
    x = 513,374.10

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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.