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Finding the Fourth Proportional to 422,138.34, 582,551.82 and 228,548.07

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Solution

The fourth proportional to 422,138.34, 582,551.82 and 228,548.07 is: 315,396.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,138.34 : 582,551.82 = 228,548.07 : x
  2. Step 2: Convert to fraction form
    422,138.34/582,551.82 = 228,548.07/x
  3. Step 3: Cross multiply
    422,138.34x = 582,551.82 × 228,548.07
  4. Step 4: Simplify right side
    422,138.34x = 133,141,094,135.99
  5. Step 5: Solve for x
    x = 133,141,094,135.99/422,138.34
  6. Step 6: Final answer
    x = 315,396.83

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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.