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Finding the Fourth Proportional to 422,114.22, 582,402.15 and 271,298.70

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Solution

The fourth proportional to 422,114.22, 582,402.15 and 271,298.70 is: 374,317.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,114.22 : 582,402.15 = 271,298.70 : x
  2. Step 2: Convert to fraction form
    422,114.22/582,402.15 = 271,298.70/x
  3. Step 3: Cross multiply
    422,114.22x = 582,402.15 × 271,298.70
  4. Step 4: Simplify right side
    422,114.22x = 158,004,946,172.21
  5. Step 5: Solve for x
    x = 158,004,946,172.21/422,114.22
  6. Step 6: Final answer
    x = 374,317.99

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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.