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Finding the Fourth Proportional to 271,907.40, 407,861.10 and 205,552.20

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Solution

The fourth proportional to 271,907.40, 407,861.10 and 205,552.20 is: 308,328.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,907.40 : 407,861.10 = 205,552.20 : x
  2. Step 2: Convert to fraction form
    271,907.40/407,861.10 = 205,552.20/x
  3. Step 3: Cross multiply
    271,907.40x = 407,861.10 × 205,552.20
  4. Step 4: Simplify right side
    271,907.40x = 83,836,746,399.42
  5. Step 5: Solve for x
    x = 83,836,746,399.42/271,907.40
  6. Step 6: Final answer
    x = 308,328.30

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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.