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Finding the Fourth Proportional to 422,016.63, 633,022.21 and 106,473.84

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Solution

The fourth proportional to 422,016.63, 633,022.21 and 106,473.84 is: 159,710.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,016.63 : 633,022.21 = 106,473.84 : x
  2. Step 2: Convert to fraction form
    422,016.63/633,022.21 = 106,473.84/x
  3. Step 3: Cross multiply
    422,016.63x = 633,022.21 × 106,473.84
  4. Step 4: Simplify right side
    422,016.63x = 67,400,305,503.99
  5. Step 5: Solve for x
    x = 67,400,305,503.99/422,016.63
  6. Step 6: Final answer
    x = 159,710.07

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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.