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Finding the Fourth Proportional to 271,682.60, 407,135.10 and 200,046.20

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Solution

The fourth proportional to 271,682.60, 407,135.10 and 200,046.20 is: 299,783.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,682.60 : 407,135.10 = 200,046.20 : x
  2. Step 2: Convert to fraction form
    271,682.60/407,135.10 = 200,046.20/x
  3. Step 3: Cross multiply
    271,682.60x = 407,135.10 × 200,046.20
  4. Step 4: Simplify right side
    271,682.60x = 81,445,829,641.62
  5. Step 5: Solve for x
    x = 81,445,829,641.62/271,682.60
  6. Step 6: Final answer
    x = 299,783.02

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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.