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Finding the Fourth Proportional to 422,049.94, 582,468.51 and 252,280.42

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Solution

The fourth proportional to 422,049.94, 582,468.51 and 252,280.42 is: 348,170.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,049.94 : 582,468.51 = 252,280.42 : x
  2. Step 2: Convert to fraction form
    422,049.94/582,468.51 = 252,280.42/x
  3. Step 3: Cross multiply
    422,049.94x = 582,468.51 × 252,280.42
  4. Step 4: Simplify right side
    422,049.94x = 146,945,400,339.57
  5. Step 5: Solve for x
    x = 146,945,400,339.57/422,049.94
  6. Step 6: Final answer
    x = 348,170.65

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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.