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Finding the Fourth Proportional to 271,876.40, 407,814.60 and 201,892.40

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Solution

The fourth proportional to 271,876.40, 407,814.60 and 201,892.40 is: 302,838.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,876.40 : 407,814.60 = 201,892.40 : x
  2. Step 2: Convert to fraction form
    271,876.40/407,814.60 = 201,892.40/x
  3. Step 3: Cross multiply
    271,876.40x = 407,814.60 × 201,892.40
  4. Step 4: Simplify right side
    271,876.40x = 82,334,668,349.04
  5. Step 5: Solve for x
    x = 82,334,668,349.04/271,876.40
  6. Step 6: Final answer
    x = 302,838.60

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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.