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Finding the Fourth Proportional to 403,744.80, 605,471.40 and 203,998.80

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Solution

The fourth proportional to 403,744.80, 605,471.40 and 203,998.80 is: 305,924.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,744.80 : 605,471.40 = 203,998.80 : x
  2. Step 2: Convert to fraction form
    403,744.80/605,471.40 = 203,998.80/x
  3. Step 3: Cross multiply
    403,744.80x = 605,471.40 × 203,998.80
  4. Step 4: Simplify right side
    403,744.80x = 123,515,439,034.32
  5. Step 5: Solve for x
    x = 123,515,439,034.32/403,744.80
  6. Step 6: Final answer
    x = 305,924.53

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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.