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Finding the Fourth Proportional to 298,812.57, 412,361.34 and 164,676.57

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Solution

The fourth proportional to 298,812.57, 412,361.34 and 164,676.57 is: 227,253.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,812.57 : 412,361.34 = 164,676.57 : x
  2. Step 2: Convert to fraction form
    298,812.57/412,361.34 = 164,676.57/x
  3. Step 3: Cross multiply
    298,812.57x = 412,361.34 × 164,676.57
  4. Step 4: Simplify right side
    298,812.57x = 67,906,251,071.80
  5. Step 5: Solve for x
    x = 67,906,251,071.80/298,812.57
  6. Step 6: Final answer
    x = 227,253.66

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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.