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Finding the Fourth Proportional to 298,811.79, 412,348.23 and 162,842.83

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Solution

The fourth proportional to 298,811.79, 412,348.23 and 162,842.83 is: 224,716.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,811.79 : 412,348.23 = 162,842.83 : x
  2. Step 2: Convert to fraction form
    298,811.79/412,348.23 = 162,842.83/x
  3. Step 3: Cross multiply
    298,811.79x = 412,348.23 × 162,842.83
  4. Step 4: Simplify right side
    298,811.79x = 67,147,951,687.82
  5. Step 5: Solve for x
    x = 67,147,951,687.82/298,811.79
  6. Step 6: Final answer
    x = 224,716.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.