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Finding the Fourth Proportional to 298,896.38, 412,468.74 and 162,932.96

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Solution

The fourth proportional to 298,896.38, 412,468.74 and 162,932.96 is: 224,842.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,896.38 : 412,468.74 = 162,932.96 : x
  2. Step 2: Convert to fraction form
    298,896.38/412,468.74 = 162,932.96/x
  3. Step 3: Cross multiply
    298,896.38x = 412,468.74 × 162,932.96
  4. Step 4: Simplify right side
    298,896.38x = 67,204,752,715.67
  5. Step 5: Solve for x
    x = 67,204,752,715.67/298,896.38
  6. Step 6: Final answer
    x = 224,842.98

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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.