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Finding the Fourth Proportional to 271,906.40, 407,859.60 and 201,922.40

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Solution

The fourth proportional to 271,906.40, 407,859.60 and 201,922.40 is: 302,883.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,906.40 : 407,859.60 = 201,922.40 : x
  2. Step 2: Convert to fraction form
    271,906.40/407,859.60 = 201,922.40/x
  3. Step 3: Cross multiply
    271,906.40x = 407,859.60 × 201,922.40
  4. Step 4: Simplify right side
    271,906.40x = 82,355,989,295.04
  5. Step 5: Solve for x
    x = 82,355,989,295.04/271,906.40
  6. Step 6: Final answer
    x = 302,883.60

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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.