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Finding the Fourth Proportional to 407,227.92, 562,005.36 and 225,974.14

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Solution

The fourth proportional to 407,227.92, 562,005.36 and 225,974.14 is: 311,861.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,227.92 : 562,005.36 = 225,974.14 : x
  2. Step 2: Convert to fraction form
    407,227.92/562,005.36 = 225,974.14/x
  3. Step 3: Cross multiply
    407,227.92x = 562,005.36 × 225,974.14
  4. Step 4: Simplify right side
    407,227.92x = 126,998,677,901.39
  5. Step 5: Solve for x
    x = 126,998,677,901.39/407,227.92
  6. Step 6: Final answer
    x = 311,861.42

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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.