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Finding the Fourth Proportional to 271,880.40, 407,820.60 and 201,896.40

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Solution

The fourth proportional to 271,880.40, 407,820.60 and 201,896.40 is: 302,844.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,880.40 : 407,820.60 = 201,896.40 : x
  2. Step 2: Convert to fraction form
    271,880.40/407,820.60 = 201,896.40/x
  3. Step 3: Cross multiply
    271,880.40x = 407,820.60 × 201,896.40
  4. Step 4: Simplify right side
    271,880.40x = 82,337,510,985.84
  5. Step 5: Solve for x
    x = 82,337,510,985.84/271,880.40
  6. Step 6: Final answer
    x = 302,844.60

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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.