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Finding the Fourth Proportional to 225,957.60, 339,022.80 and 222,415.20

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Solution

The fourth proportional to 225,957.60, 339,022.80 and 222,415.20 is: 333,707.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,957.60 : 339,022.80 = 222,415.20 : x
  2. Step 2: Convert to fraction form
    225,957.60/339,022.80 = 222,415.20/x
  3. Step 3: Cross multiply
    225,957.60x = 339,022.80 × 222,415.20
  4. Step 4: Simplify right side
    225,957.60x = 75,403,823,866.56
  5. Step 5: Solve for x
    x = 75,403,823,866.56/225,957.60
  6. Step 6: Final answer
    x = 333,707.85

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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.