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Finding the Fourth Proportional to 422,884.70, 583,016.24 and 335,958.18

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Solution

The fourth proportional to 422,884.70, 583,016.24 and 335,958.18 is: 463,173.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,884.70 : 583,016.24 = 335,958.18 : x
  2. Step 2: Convert to fraction form
    422,884.70/583,016.24 = 335,958.18/x
  3. Step 3: Cross multiply
    422,884.70x = 583,016.24 × 335,958.18
  4. Step 4: Simplify right side
    422,884.70x = 195,869,074,900.84
  5. Step 5: Solve for x
    x = 195,869,074,900.84/422,884.70
  6. Step 6: Final answer
    x = 463,173.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.