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Finding the Fourth Proportional to 422,433, 582,866.82 and 250,405.20

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Solution

The fourth proportional to 422,433, 582,866.82 and 250,405.20 is: 345,505.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,433 : 582,866.82 = 250,405.20 : x
  2. Step 2: Convert to fraction form
    422,433/582,866.82 = 250,405.20/x
  3. Step 3: Cross multiply
    422,433x = 582,866.82 × 250,405.20
  4. Step 4: Simplify right side
    422,433x = 145,952,882,635.46
  5. Step 5: Solve for x
    x = 145,952,882,635.46/422,433
  6. Step 6: Final answer
    x = 345,505.40

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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.