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Finding the Fourth Proportional to 412,833.21, 619,311.38 and 146,571.50

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Solution

The fourth proportional to 412,833.21, 619,311.38 and 146,571.50 is: 219,879.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,833.21 : 619,311.38 = 146,571.50 : x
  2. Step 2: Convert to fraction form
    412,833.21/619,311.38 = 146,571.50/x
  3. Step 3: Cross multiply
    412,833.21x = 619,311.38 × 146,571.50
  4. Step 4: Simplify right side
    412,833.21x = 90,773,394,104.26
  5. Step 5: Solve for x
    x = 90,773,394,104.26/412,833.21
  6. Step 6: Final answer
    x = 219,879.10

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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.