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Finding the Fourth Proportional to 422,285.68, 582,533.40 and 261,089.20

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Solution

The fourth proportional to 422,285.68, 582,533.40 and 261,089.20 is: 360,166.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,285.68 : 582,533.40 = 261,089.20 : x
  2. Step 2: Convert to fraction form
    422,285.68/582,533.40 = 261,089.20/x
  3. Step 3: Cross multiply
    422,285.68x = 582,533.40 × 261,089.20
  4. Step 4: Simplify right side
    422,285.68x = 152,093,179,379.28
  5. Step 5: Solve for x
    x = 152,093,179,379.28/422,285.68
  6. Step 6: Final answer
    x = 360,166.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.