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Finding the Fourth Proportional to 407,001.94, 561,662.67 and 225,741.62

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Solution

The fourth proportional to 407,001.94, 561,662.67 and 225,741.62 is: 311,523.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,001.94 : 561,662.67 = 225,741.62 : x
  2. Step 2: Convert to fraction form
    407,001.94/561,662.67 = 225,741.62/x
  3. Step 3: Cross multiply
    407,001.94x = 561,662.67 × 225,741.62
  4. Step 4: Simplify right side
    407,001.94x = 126,790,643,270.01
  5. Step 5: Solve for x
    x = 126,790,643,270.01/407,001.94
  6. Step 6: Final answer
    x = 311,523.44

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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.