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Finding the Fourth Proportional to 412,524.54, 618,787.34 and 113,007.75

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Solution

The fourth proportional to 412,524.54, 618,787.34 and 113,007.75 is: 169,511.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,524.54 : 618,787.34 = 113,007.75 : x
  2. Step 2: Convert to fraction form
    412,524.54/618,787.34 = 113,007.75/x
  3. Step 3: Cross multiply
    412,524.54x = 618,787.34 × 113,007.75
  4. Step 4: Simplify right side
    412,524.54x = 69,927,765,021.89
  5. Step 5: Solve for x
    x = 69,927,765,021.89/412,524.54
  6. Step 6: Final answer
    x = 169,511.77

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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.