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Finding the Fourth Proportional to 384,414.40, 576,103.20 and 257,694.40

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Solution

The fourth proportional to 384,414.40, 576,103.20 and 257,694.40 is: 386,194.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,414.40 : 576,103.20 = 257,694.40 : x
  2. Step 2: Convert to fraction form
    384,414.40/576,103.20 = 257,694.40/x
  3. Step 3: Cross multiply
    384,414.40x = 576,103.20 × 257,694.40
  4. Step 4: Simplify right side
    384,414.40x = 148,458,568,462.08
  5. Step 5: Solve for x
    x = 148,458,568,462.08/384,414.40
  6. Step 6: Final answer
    x = 386,194.09

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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.