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Finding the Fourth Proportional to 422,006.18, 582,316.89 and 336,183.78

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Solution

The fourth proportional to 422,006.18, 582,316.89 and 336,183.78 is: 463,892.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,006.18 : 582,316.89 = 336,183.78 : x
  2. Step 2: Convert to fraction form
    422,006.18/582,316.89 = 336,183.78/x
  3. Step 3: Cross multiply
    422,006.18x = 582,316.89 × 336,183.78
  4. Step 4: Simplify right side
    422,006.18x = 195,765,493,238.04
  5. Step 5: Solve for x
    x = 195,765,493,238.04/422,006.18
  6. Step 6: Final answer
    x = 463,892.48

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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.