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Finding the Fourth Proportional to 298,771.92, 412,299.87 and 162,807.02

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Solution

The fourth proportional to 298,771.92, 412,299.87 and 162,807.02 is: 224,670.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,771.92 : 412,299.87 = 162,807.02 : x
  2. Step 2: Convert to fraction form
    298,771.92/412,299.87 = 162,807.02/x
  3. Step 3: Cross multiply
    298,771.92x = 412,299.87 × 162,807.02
  4. Step 4: Simplify right side
    298,771.92x = 67,125,313,181.09
  5. Step 5: Solve for x
    x = 67,125,313,181.09/298,771.92
  6. Step 6: Final answer
    x = 224,670.76

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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.