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Finding the Fourth Proportional to 412,751.92, 619,023.84 and 159,945.52

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Solution

The fourth proportional to 412,751.92, 619,023.84 and 159,945.52 is: 239,877.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,751.92 : 619,023.84 = 159,945.52 : x
  2. Step 2: Convert to fraction form
    412,751.92/619,023.84 = 159,945.52/x
  3. Step 3: Cross multiply
    412,751.92x = 619,023.84 × 159,945.52
  4. Step 4: Simplify right side
    412,751.92x = 99,010,089,981.20
  5. Step 5: Solve for x
    x = 99,010,089,981.20/412,751.92
  6. Step 6: Final answer
    x = 239,877.96

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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.