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Finding the Fourth Proportional to 407,084.09, 561,843.32 and 225,854.42

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Solution

The fourth proportional to 407,084.09, 561,843.32 and 225,854.42 is: 311,716.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,084.09 : 561,843.32 = 225,854.42 : x
  2. Step 2: Convert to fraction form
    407,084.09/561,843.32 = 225,854.42/x
  3. Step 3: Cross multiply
    407,084.09x = 561,843.32 × 225,854.42
  4. Step 4: Simplify right side
    407,084.09x = 126,894,793,230.99
  5. Step 5: Solve for x
    x = 126,894,793,230.99/407,084.09
  6. Step 6: Final answer
    x = 311,716.42

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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.