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Finding the Fourth Proportional to 307,716.44, 461,401.52 and 211,766.36

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Solution

The fourth proportional to 307,716.44, 461,401.52 and 211,766.36 is: 317,530.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,716.44 : 461,401.52 = 211,766.36 : x
  2. Step 2: Convert to fraction form
    307,716.44/461,401.52 = 211,766.36/x
  3. Step 3: Cross multiply
    307,716.44x = 461,401.52 × 211,766.36
  4. Step 4: Simplify right side
    307,716.44x = 97,709,320,388.87
  5. Step 5: Solve for x
    x = 97,709,320,388.87/307,716.44
  6. Step 6: Final answer
    x = 317,530.39

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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.