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Finding the Fourth Proportional to 403,824.80, 605,591.40 and 204,078.80

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Solution

The fourth proportional to 403,824.80, 605,591.40 and 204,078.80 is: 306,044.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,824.80 : 605,591.40 = 204,078.80 : x
  2. Step 2: Convert to fraction form
    403,824.80/605,591.40 = 204,078.80/x
  3. Step 3: Cross multiply
    403,824.80x = 605,591.40 × 204,078.80
  4. Step 4: Simplify right side
    403,824.80x = 123,588,366,202.32
  5. Step 5: Solve for x
    x = 123,588,366,202.32/403,824.80
  6. Step 6: Final answer
    x = 306,044.52

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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.