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Finding the Fourth Proportional to 361,754.56, 542,553.54 and 228,456.64

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Solution

The fourth proportional to 361,754.56, 542,553.54 and 228,456.64 is: 342,635.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,754.56 : 542,553.54 = 228,456.64 : x
  2. Step 2: Convert to fraction form
    361,754.56/542,553.54 = 228,456.64/x
  3. Step 3: Cross multiply
    361,754.56x = 542,553.54 × 228,456.64
  4. Step 4: Simplify right side
    361,754.56x = 123,949,958,768.51
  5. Step 5: Solve for x
    x = 123,949,958,768.51/361,754.56
  6. Step 6: Final answer
    x = 342,635.51

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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.