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Finding the Fourth Proportional to 407,227.64, 562,041.60 and 225,997.78

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Solution

The fourth proportional to 407,227.64, 562,041.60 and 225,997.78 is: 311,914.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,227.64 : 562,041.60 = 225,997.78 : x
  2. Step 2: Convert to fraction form
    407,227.64/562,041.60 = 225,997.78/x
  3. Step 3: Cross multiply
    407,227.64x = 562,041.60 × 225,997.78
  4. Step 4: Simplify right side
    407,227.64x = 127,020,153,867.65
  5. Step 5: Solve for x
    x = 127,020,153,867.65/407,227.64
  6. Step 6: Final answer
    x = 311,914.37

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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.