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Finding the Fourth Proportional to 404,296.20, 605,715.30 and 193,469.40

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Solution

The fourth proportional to 404,296.20, 605,715.30 and 193,469.40 is: 289,855.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,296.20 : 605,715.30 = 193,469.40 : x
  2. Step 2: Convert to fraction form
    404,296.20/605,715.30 = 193,469.40/x
  3. Step 3: Cross multiply
    404,296.20x = 605,715.30 × 193,469.40
  4. Step 4: Simplify right side
    404,296.20x = 117,187,375,661.82
  5. Step 5: Solve for x
    x = 117,187,375,661.82/404,296.20
  6. Step 6: Final answer
    x = 289,855.25

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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.