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Finding the Fourth Proportional to 403,834.80, 605,233.80 and 309,874.80

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Solution

The fourth proportional to 403,834.80, 605,233.80 and 309,874.80 is: 464,414.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,834.80 : 605,233.80 = 309,874.80 : x
  2. Step 2: Convert to fraction form
    403,834.80/605,233.80 = 309,874.80/x
  3. Step 3: Cross multiply
    403,834.80x = 605,233.80 × 309,874.80
  4. Step 4: Simplify right side
    403,834.80x = 187,546,702,728.24
  5. Step 5: Solve for x
    x = 187,546,702,728.24/403,834.80
  6. Step 6: Final answer
    x = 464,414.42

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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.