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Finding the Fourth Proportional to 422,056.68, 582,416.10 and 231,033.48

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Solution

The fourth proportional to 422,056.68, 582,416.10 and 231,033.48 is: 318,814.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,056.68 : 582,416.10 = 231,033.48 : x
  2. Step 2: Convert to fraction form
    422,056.68/582,416.10 = 231,033.48/x
  3. Step 3: Cross multiply
    422,056.68x = 582,416.10 × 231,033.48
  4. Step 4: Simplify right side
    422,056.68x = 134,557,618,391.03
  5. Step 5: Solve for x
    x = 134,557,618,391.03/422,056.68
  6. Step 6: Final answer
    x = 318,814.09

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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.