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Finding the Fourth Proportional to 422,289.18, 582,538.23 and 261,092.70

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Solution

The fourth proportional to 422,289.18, 582,538.23 and 261,092.70 is: 360,171.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,289.18 : 582,538.23 = 261,092.70 : x
  2. Step 2: Convert to fraction form
    422,289.18/582,538.23 = 261,092.70/x
  3. Step 3: Cross multiply
    422,289.18x = 582,538.23 × 261,092.70
  4. Step 4: Simplify right side
    422,289.18x = 152,096,479,323.92
  5. Step 5: Solve for x
    x = 152,096,479,323.92/422,289.18
  6. Step 6: Final answer
    x = 360,171.39

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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.