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Finding the Fourth Proportional to 321,506.70, 482,161.55 and 222,304.38

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Solution

The fourth proportional to 321,506.70, 482,161.55 and 222,304.38 is: 333,388.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,506.70 : 482,161.55 = 222,304.38 : x
  2. Step 2: Convert to fraction form
    321,506.70/482,161.55 = 222,304.38/x
  3. Step 3: Cross multiply
    321,506.70x = 482,161.55 × 222,304.38
  4. Step 4: Simplify right side
    321,506.70x = 107,186,623,321.07
  5. Step 5: Solve for x
    x = 107,186,623,321.07/321,506.70
  6. Step 6: Final answer
    x = 333,388.46

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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.