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Finding the Fourth Proportional to 422,665.38, 582,297.93 and 295,138.98

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Solution

The fourth proportional to 422,665.38, 582,297.93 and 295,138.98 is: 406,607.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,665.38 : 582,297.93 = 295,138.98 : x
  2. Step 2: Convert to fraction form
    422,665.38/582,297.93 = 295,138.98/x
  3. Step 3: Cross multiply
    422,665.38x = 582,297.93 × 295,138.98
  4. Step 4: Simplify right side
    422,665.38x = 171,858,817,116.31
  5. Step 5: Solve for x
    x = 171,858,817,116.31/422,665.38
  6. Step 6: Final answer
    x = 406,607.27

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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.