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Finding the Fourth Proportional to 422,174.70, 582,601.38 and 231,188.14

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Solution

The fourth proportional to 422,174.70, 582,601.38 and 231,188.14 is: 319,039.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,174.70 : 582,601.38 = 231,188.14 : x
  2. Step 2: Convert to fraction form
    422,174.70/582,601.38 = 231,188.14/x
  3. Step 3: Cross multiply
    422,174.70x = 582,601.38 × 231,188.14
  4. Step 4: Simplify right side
    422,174.70x = 134,690,529,403.63
  5. Step 5: Solve for x
    x = 134,690,529,403.63/422,174.70
  6. Step 6: Final answer
    x = 319,039.79

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1.5x scale

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.