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Finding the Fourth Proportional to 422,463.83, 582,996.28 and 228,867.10

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Solution

The fourth proportional to 422,463.83, 582,996.28 and 228,867.10 is: 315,834.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,463.83 : 582,996.28 = 228,867.10 : x
  2. Step 2: Convert to fraction form
    422,463.83/582,996.28 = 228,867.10/x
  3. Step 3: Cross multiply
    422,463.83x = 582,996.28 × 228,867.10
  4. Step 4: Simplify right side
    422,463.83x = 133,428,667,914.39
  5. Step 5: Solve for x
    x = 133,428,667,914.39/422,463.83
  6. Step 6: Final answer
    x = 315,834.54

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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.