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Finding the Fourth Proportional to 298,811.38, 412,347.67 and 162,842.41

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Solution

The fourth proportional to 298,811.38, 412,347.67 and 162,842.41 is: 224,715.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,811.38 : 412,347.67 = 162,842.41 : x
  2. Step 2: Convert to fraction form
    298,811.38/412,347.67 = 162,842.41/x
  3. Step 3: Cross multiply
    298,811.38x = 412,347.67 × 162,842.41
  4. Step 4: Simplify right side
    298,811.38x = 67,147,688,340.68
  5. Step 5: Solve for x
    x = 67,147,688,340.68/298,811.38
  6. Step 6: Final answer
    x = 224,715.97

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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.