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Finding the Fourth Proportional to 298,876.76, 412,447.24 and 162,910.70

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Solution

The fourth proportional to 298,876.76, 412,447.24 and 162,910.70 is: 224,815.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,876.76 : 412,447.24 = 162,910.70 : x
  2. Step 2: Convert to fraction form
    298,876.76/412,447.24 = 162,910.70/x
  3. Step 3: Cross multiply
    298,876.76x = 412,447.24 × 162,910.70
  4. Step 4: Simplify right side
    298,876.76x = 67,192,068,581.47
  5. Step 5: Solve for x
    x = 67,192,068,581.47/298,876.76
  6. Step 6: Final answer
    x = 224,815.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.