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Finding the Fourth Proportional to 271,906.80, 407,860.20 and 177,428.40

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Solution

The fourth proportional to 271,906.80, 407,860.20 and 177,428.40 is: 266,142.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,906.80 : 407,860.20 = 177,428.40 : x
  2. Step 2: Convert to fraction form
    271,906.80/407,860.20 = 177,428.40/x
  3. Step 3: Cross multiply
    271,906.80x = 407,860.20 × 177,428.40
  4. Step 4: Simplify right side
    271,906.80x = 72,365,982,709.68
  5. Step 5: Solve for x
    x = 72,365,982,709.68/271,906.80
  6. Step 6: Final answer
    x = 266,142.60

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1.5x scale

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.