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Finding the Fourth Proportional to 407,095.38, 561,858.84 and 225,865.62

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Solution

The fourth proportional to 407,095.38, 561,858.84 and 225,865.62 is: 311,731.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,095.38 : 561,858.84 = 225,865.62 : x
  2. Step 2: Convert to fraction form
    407,095.38/561,858.84 = 225,865.62/x
  3. Step 3: Cross multiply
    407,095.38x = 561,858.84 × 225,865.62
  4. Step 4: Simplify right side
    407,095.38x = 126,904,595,249.08
  5. Step 5: Solve for x
    x = 126,904,595,249.08/407,095.38
  6. Step 6: Final answer
    x = 311,731.85

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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.