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Finding the Fourth Proportional to 412,524.51, 618,787.25 and 113,007.67

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Solution

The fourth proportional to 412,524.51, 618,787.25 and 113,007.67 is: 169,511.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,524.51 : 618,787.25 = 113,007.67 : x
  2. Step 2: Convert to fraction form
    412,524.51/618,787.25 = 113,007.67/x
  3. Step 3: Cross multiply
    412,524.51x = 618,787.25 × 113,007.67
  4. Step 4: Simplify right side
    412,524.51x = 69,927,703,659.98
  5. Step 5: Solve for x
    x = 69,927,703,659.98/412,524.51
  6. Step 6: Final answer
    x = 169,511.64

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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.