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Finding the Fourth Proportional to 407,036.38, 561,744.70 and 225,806.70

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Solution

The fourth proportional to 407,036.38, 561,744.70 and 225,806.70 is: 311,632.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,036.38 : 561,744.70 = 225,806.70 : x
  2. Step 2: Convert to fraction form
    407,036.38/561,744.70 = 225,806.70/x
  3. Step 3: Cross multiply
    407,036.38x = 561,744.70 × 225,806.70
  4. Step 4: Simplify right side
    407,036.38x = 126,845,715,021.96
  5. Step 5: Solve for x
    x = 126,845,715,021.96/407,036.38
  6. Step 6: Final answer
    x = 311,632.38

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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.