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Finding the Fourth Proportional to 307,806.84, 462,410.82 and 222,680.22

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Solution

The fourth proportional to 307,806.84, 462,410.82 and 222,680.22 is: 334,527.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,806.84 : 462,410.82 = 222,680.22 : x
  2. Step 2: Convert to fraction form
    307,806.84/462,410.82 = 222,680.22/x
  3. Step 3: Cross multiply
    307,806.84x = 462,410.82 × 222,680.22
  4. Step 4: Simplify right side
    307,806.84x = 102,969,743,127.98
  5. Step 5: Solve for x
    x = 102,969,743,127.98/307,806.84
  6. Step 6: Final answer
    x = 334,527.14

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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.