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Finding the Fourth Proportional to 271,801.60, 407,313.60 and 200,165.20

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Solution

The fourth proportional to 271,801.60, 407,313.60 and 200,165.20 is: 299,961.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,801.60 : 407,313.60 = 200,165.20 : x
  2. Step 2: Convert to fraction form
    271,801.60/407,313.60 = 200,165.20/x
  3. Step 3: Cross multiply
    271,801.60x = 407,313.60 × 200,165.20
  4. Step 4: Simplify right side
    271,801.60x = 81,530,008,206.72
  5. Step 5: Solve for x
    x = 81,530,008,206.72/271,801.60
  6. Step 6: Final answer
    x = 299,961.47

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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.