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Finding the Fourth Proportional to 403,830.80, 605,600.40 and 204,084.80

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Solution

The fourth proportional to 403,830.80, 605,600.40 and 204,084.80 is: 306,053.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,830.80 : 605,600.40 = 204,084.80 : x
  2. Step 2: Convert to fraction form
    403,830.80/605,600.40 = 204,084.80/x
  3. Step 3: Cross multiply
    403,830.80x = 605,600.40 × 204,084.80
  4. Step 4: Simplify right side
    403,830.80x = 123,593,836,513.92
  5. Step 5: Solve for x
    x = 123,593,836,513.92/403,830.80
  6. Step 6: Final answer
    x = 306,053.52

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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.