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Finding the Fourth Proportional to 271,410.20, 407,115.30 and 187,429.40

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Solution

The fourth proportional to 271,410.20, 407,115.30 and 187,429.40 is: 281,144.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,410.20 : 407,115.30 = 187,429.40 : x
  2. Step 2: Convert to fraction form
    271,410.20/407,115.30 = 187,429.40/x
  3. Step 3: Cross multiply
    271,410.20x = 407,115.30 × 187,429.40
  4. Step 4: Simplify right side
    271,410.20x = 76,305,376,409.82
  5. Step 5: Solve for x
    x = 76,305,376,409.82/271,410.20
  6. Step 6: Final answer
    x = 281,144.10

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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.