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Finding the Fourth Proportional to 422,380.46, 633,572.78 and 106,837.67

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Solution

The fourth proportional to 422,380.46, 633,572.78 and 106,837.67 is: 160,257.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,380.46 : 633,572.78 = 106,837.67 : x
  2. Step 2: Convert to fraction form
    422,380.46/633,572.78 = 106,837.67/x
  3. Step 3: Cross multiply
    422,380.46x = 633,572.78 × 106,837.67
  4. Step 4: Simplify right side
    422,380.46x = 67,689,435,888.57
  5. Step 5: Solve for x
    x = 67,689,435,888.57/422,380.46
  6. Step 6: Final answer
    x = 160,257.03

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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.