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Finding the Fourth Proportional to 406,179.14, 560,544.73 and 224,891.07

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Solution

The fourth proportional to 406,179.14, 560,544.73 and 224,891.07 is: 310,359.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,179.14 : 560,544.73 = 224,891.07 : x
  2. Step 2: Convert to fraction form
    406,179.14/560,544.73 = 224,891.07/x
  3. Step 3: Cross multiply
    406,179.14x = 560,544.73 × 224,891.07
  4. Step 4: Simplify right side
    406,179.14x = 126,061,504,112.56
  5. Step 5: Solve for x
    x = 126,061,504,112.56/406,179.14
  6. Step 6: Final answer
    x = 310,359.38

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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.