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Finding the Fourth Proportional to 298,614.21, 412,084.12 and 162,647.73

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Solution

The fourth proportional to 298,614.21, 412,084.12 and 162,647.73 is: 224,451.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,614.21 : 412,084.12 = 162,647.73 : x
  2. Step 2: Convert to fraction form
    298,614.21/412,084.12 = 162,647.73/x
  3. Step 3: Cross multiply
    298,614.21x = 412,084.12 × 162,647.73
  4. Step 4: Simplify right side
    298,614.21x = 67,024,546,687.05
  5. Step 5: Solve for x
    x = 67,024,546,687.05/298,614.21
  6. Step 6: Final answer
    x = 224,451.97

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1.5x scale

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.