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Finding the Fourth Proportional to 403,843.80, 605,619.90 and 204,097.80

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Solution

The fourth proportional to 403,843.80, 605,619.90 and 204,097.80 is: 306,073.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,843.80 : 605,619.90 = 204,097.80 : x
  2. Step 2: Convert to fraction form
    403,843.80/605,619.90 = 204,097.80/x
  3. Step 3: Cross multiply
    403,843.80x = 605,619.90 × 204,097.80
  4. Step 4: Simplify right side
    403,843.80x = 123,605,689,226.22
  5. Step 5: Solve for x
    x = 123,605,689,226.22/403,843.80
  6. Step 6: Final answer
    x = 306,073.01

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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.