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Finding the Fourth Proportional to 422,022.30, 582,390.76 and 231,035.70

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Solution

The fourth proportional to 422,022.30, 582,390.76 and 231,035.70 is: 318,829.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,022.30 : 582,390.76 = 231,035.70 : x
  2. Step 2: Convert to fraction form
    422,022.30/582,390.76 = 231,035.70/x
  3. Step 3: Cross multiply
    422,022.30x = 582,390.76 × 231,035.70
  4. Step 4: Simplify right side
    422,022.30x = 134,553,056,910.13
  5. Step 5: Solve for x
    x = 134,553,056,910.13/422,022.30
  6. Step 6: Final answer
    x = 318,829.26

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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.