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Finding the Fourth Proportional to 271,409.40, 407,114.10 and 204,049.80

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Solution

The fourth proportional to 271,409.40, 407,114.10 and 204,049.80 is: 306,074.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,409.40 : 407,114.10 = 204,049.80 : x
  2. Step 2: Convert to fraction form
    271,409.40/407,114.10 = 204,049.80/x
  3. Step 3: Cross multiply
    271,409.40x = 407,114.10 × 204,049.80
  4. Step 4: Simplify right side
    271,409.40x = 83,071,550,682.18
  5. Step 5: Solve for x
    x = 83,071,550,682.18/271,409.40
  6. Step 6: Final answer
    x = 306,074.70

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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.