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Finding the Fourth Proportional to 410,520.70, 616,414.65 and 223,896.70

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Solution

The fourth proportional to 410,520.70, 616,414.65 and 223,896.70 is: 336,190.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,520.70 : 616,414.65 = 223,896.70 : x
  2. Step 2: Convert to fraction form
    410,520.70/616,414.65 = 223,896.70/x
  3. Step 3: Cross multiply
    410,520.70x = 616,414.65 × 223,896.70
  4. Step 4: Simplify right side
    410,520.70x = 138,013,205,966.66
  5. Step 5: Solve for x
    x = 138,013,205,966.66/410,520.70
  6. Step 6: Final answer
    x = 336,190.61

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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.