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Finding the Fourth Proportional to 271,892.40, 407,838.60 and 205,537.20

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Solution

The fourth proportional to 271,892.40, 407,838.60 and 205,537.20 is: 308,305.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,892.40 : 407,838.60 = 205,537.20 : x
  2. Step 2: Convert to fraction form
    271,892.40/407,838.60 = 205,537.20/x
  3. Step 3: Cross multiply
    271,892.40x = 407,838.60 × 205,537.20
  4. Step 4: Simplify right side
    271,892.40x = 83,826,003,895.92
  5. Step 5: Solve for x
    x = 83,826,003,895.92/271,892.40
  6. Step 6: Final answer
    x = 308,305.80

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Why These Related Problems?

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