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Finding the Fourth Proportional to 422,379.70, 633,571.65 and 106,836.91

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Solution

The fourth proportional to 422,379.70, 633,571.65 and 106,836.91 is: 160,255.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,379.70 : 633,571.65 = 106,836.91 : x
  2. Step 2: Convert to fraction form
    422,379.70/633,571.65 = 106,836.91/x
  3. Step 3: Cross multiply
    422,379.70x = 633,571.65 × 106,836.91
  4. Step 4: Simplify right side
    422,379.70x = 67,688,835,765.67
  5. Step 5: Solve for x
    x = 67,688,835,765.67/422,379.70
  6. Step 6: Final answer
    x = 160,255.89

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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.