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Finding the Fourth Proportional to 271,937.60, 407,517.60 and 200,301.20

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Solution

The fourth proportional to 271,937.60, 407,517.60 and 200,301.20 is: 300,165.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,937.60 : 407,517.60 = 200,301.20 : x
  2. Step 2: Convert to fraction form
    271,937.60/407,517.60 = 200,301.20/x
  3. Step 3: Cross multiply
    271,937.60x = 407,517.60 × 200,301.20
  4. Step 4: Simplify right side
    271,937.60x = 81,626,264,301.12
  5. Step 5: Solve for x
    x = 81,626,264,301.12/271,937.60
  6. Step 6: Final answer
    x = 300,165.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.