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Finding the Fourth Proportional to 271,251.40, 406,877.10 and 257,427.40

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Solution

The fourth proportional to 271,251.40, 406,877.10 and 257,427.40 is: 386,141.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,251.40 : 406,877.10 = 257,427.40 : x
  2. Step 2: Convert to fraction form
    271,251.40/406,877.10 = 257,427.40/x
  3. Step 3: Cross multiply
    271,251.40x = 406,877.10 × 257,427.40
  4. Step 4: Simplify right side
    271,251.40x = 104,741,313,972.54
  5. Step 5: Solve for x
    x = 104,741,313,972.54/271,251.40
  6. Step 6: Final answer
    x = 386,141.10

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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.