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Finding the Fourth Proportional to 422,176.14, 582,658.38 and 240,846.30

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Solution

The fourth proportional to 422,176.14, 582,658.38 and 240,846.30 is: 332,399.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,176.14 : 582,658.38 = 240,846.30 : x
  2. Step 2: Convert to fraction form
    422,176.14/582,658.38 = 240,846.30/x
  3. Step 3: Cross multiply
    422,176.14x = 582,658.38 × 240,846.30
  4. Step 4: Simplify right side
    422,176.14x = 140,331,114,986.99
  5. Step 5: Solve for x
    x = 140,331,114,986.99/422,176.14
  6. Step 6: Final answer
    x = 332,399.45

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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.