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Finding the Fourth Proportional to 222,506.40, 333,759.60 and 213,175.20

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Solution

The fourth proportional to 222,506.40, 333,759.60 and 213,175.20 is: 319,762.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,506.40 : 333,759.60 = 213,175.20 : x
  2. Step 2: Convert to fraction form
    222,506.40/333,759.60 = 213,175.20/x
  3. Step 3: Cross multiply
    222,506.40x = 333,759.60 × 213,175.20
  4. Step 4: Simplify right side
    222,506.40x = 71,149,269,481.92
  5. Step 5: Solve for x
    x = 71,149,269,481.92/222,506.40
  6. Step 6: Final answer
    x = 319,762.80

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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.