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Finding the Fourth Proportional to 341,826.48, 512,640.90 and 131,414.40

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Solution

The fourth proportional to 341,826.48, 512,640.90 and 131,414.40 is: 197,083.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,826.48 : 512,640.90 = 131,414.40 : x
  2. Step 2: Convert to fraction form
    341,826.48/512,640.90 = 131,414.40/x
  3. Step 3: Cross multiply
    341,826.48x = 512,640.90 × 131,414.40
  4. Step 4: Simplify right side
    341,826.48x = 67,368,396,288.96
  5. Step 5: Solve for x
    x = 67,368,396,288.96/341,826.48
  6. Step 6: Final answer
    x = 197,083.61

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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.