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Finding the Fourth Proportional to 605,431.40, 908,243.10 and 206,109.80

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Solution

The fourth proportional to 605,431.40, 908,243.10 and 206,109.80 is: 309,197.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,431.40 : 908,243.10 = 206,109.80 : x
  2. Step 2: Convert to fraction form
    605,431.40/908,243.10 = 206,109.80/x
  3. Step 3: Cross multiply
    605,431.40x = 908,243.10 × 206,109.80
  4. Step 4: Simplify right side
    605,431.40x = 187,197,803,692.38
  5. Step 5: Solve for x
    x = 187,197,803,692.38/605,431.40
  6. Step 6: Final answer
    x = 309,197.38

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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.