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Finding the Fourth Proportional to 405,843.80, 560,080.96 and 224,552.78

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Solution

The fourth proportional to 405,843.80, 560,080.96 and 224,552.78 is: 309,891.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,843.80 : 560,080.96 = 224,552.78 : x
  2. Step 2: Convert to fraction form
    405,843.80/560,080.96 = 224,552.78/x
  3. Step 3: Cross multiply
    405,843.80x = 560,080.96 × 224,552.78
  4. Step 4: Simplify right side
    405,843.80x = 125,767,736,593.07
  5. Step 5: Solve for x
    x = 125,767,736,593.07/405,843.80
  6. Step 6: Final answer
    x = 309,891.97

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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.