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Finding the Fourth Proportional to 412,693.86, 619,179.27 and 159,982.59

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Solution

The fourth proportional to 412,693.86, 619,179.27 and 159,982.59 is: 240,027.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,693.86 : 619,179.27 = 159,982.59 : x
  2. Step 2: Convert to fraction form
    412,693.86/619,179.27 = 159,982.59/x
  3. Step 3: Cross multiply
    412,693.86x = 619,179.27 × 159,982.59
  4. Step 4: Simplify right side
    412,693.86x = 99,057,903,288.91
  5. Step 5: Solve for x
    x = 99,057,903,288.91/412,693.86
  6. Step 6: Final answer
    x = 240,027.57

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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.