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Finding the Fourth Proportional to 298,882.68, 412,455.62 and 162,914.15

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Solution

The fourth proportional to 298,882.68, 412,455.62 and 162,914.15 is: 224,820.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,882.68 : 412,455.62 = 162,914.15 : x
  2. Step 2: Convert to fraction form
    298,882.68/412,455.62 = 162,914.15/x
  3. Step 3: Cross multiply
    298,882.68x = 412,455.62 × 162,914.15
  4. Step 4: Simplify right side
    298,882.68x = 67,194,858,183.45
  5. Step 5: Solve for x
    x = 67,194,858,183.45/298,882.68
  6. Step 6: Final answer
    x = 224,820.18

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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.