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Finding the Fourth Proportional to 412,644.56, 619,145.01 and 223,238.34

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Solution

The fourth proportional to 412,644.56, 619,145.01 and 223,238.34 is: 334,953.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,644.56 : 619,145.01 = 223,238.34 : x
  2. Step 2: Convert to fraction form
    412,644.56/619,145.01 = 223,238.34/x
  3. Step 3: Cross multiply
    412,644.56x = 619,145.01 × 223,238.34
  4. Step 4: Simplify right side
    412,644.56x = 138,216,904,251.68
  5. Step 5: Solve for x
    x = 138,216,904,251.68/412,644.56
  6. Step 6: Final answer
    x = 334,953.90

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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.