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Finding the Fourth Proportional to 298,204.23, 411,770.22 and 276,568.02

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Solution

The fourth proportional to 298,204.23, 411,770.22 and 276,568.02 is: 381,894.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,204.23 : 411,770.22 = 276,568.02 : x
  2. Step 2: Convert to fraction form
    298,204.23/411,770.22 = 276,568.02/x
  3. Step 3: Cross multiply
    298,204.23x = 411,770.22 × 276,568.02
  4. Step 4: Simplify right side
    298,204.23x = 113,882,474,440.36
  5. Step 5: Solve for x
    x = 113,882,474,440.36/298,204.23
  6. Step 6: Final answer
    x = 381,894.23

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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.