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Finding the Fourth Proportional to 412,944.28, 618,998.08 and 279,838

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Solution

The fourth proportional to 412,944.28, 618,998.08 and 279,838 is: 419,473.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,944.28 : 618,998.08 = 279,838 : x
  2. Step 2: Convert to fraction form
    412,944.28/618,998.08 = 279,838/x
  3. Step 3: Cross multiply
    412,944.28x = 618,998.08 × 279,838
  4. Step 4: Simplify right side
    412,944.28x = 173,219,184,711.04
  5. Step 5: Solve for x
    x = 173,219,184,711.04/412,944.28
  6. Step 6: Final answer
    x = 419,473.51

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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.