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Finding the Fourth Proportional to 404,346.20, 606,908.10 and 204,891.80

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Solution

The fourth proportional to 404,346.20, 606,908.10 and 204,891.80 is: 307,534.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,346.20 : 606,908.10 = 204,891.80 : x
  2. Step 2: Convert to fraction form
    404,346.20/606,908.10 = 204,891.80/x
  3. Step 3: Cross multiply
    404,346.20x = 606,908.10 × 204,891.80
  4. Step 4: Simplify right side
    404,346.20x = 124,350,493,043.58
  5. Step 5: Solve for x
    x = 124,350,493,043.58/404,346.20
  6. Step 6: Final answer
    x = 307,534.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.