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Finding the Fourth Proportional to 412,529.21, 618,638.28 and 172,659.73

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Solution

The fourth proportional to 412,529.21, 618,638.28 and 172,659.73 is: 258,924.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,529.21 : 618,638.28 = 172,659.73 : x
  2. Step 2: Convert to fraction form
    412,529.21/618,638.28 = 172,659.73/x
  3. Step 3: Cross multiply
    412,529.21x = 618,638.28 × 172,659.73
  4. Step 4: Simplify right side
    412,529.21x = 106,813,919,032.65
  5. Step 5: Solve for x
    x = 106,813,919,032.65/412,529.21
  6. Step 6: Final answer
    x = 258,924.50

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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.