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Finding the Fourth Proportional to 298,812.69, 412,361.51 and 164,676.69

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Solution

The fourth proportional to 298,812.69, 412,361.51 and 164,676.69 is: 227,253.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,812.69 : 412,361.51 = 164,676.69 : x
  2. Step 2: Convert to fraction form
    298,812.69/412,361.51 = 164,676.69/x
  3. Step 3: Cross multiply
    298,812.69x = 412,361.51 × 164,676.69
  4. Step 4: Simplify right side
    298,812.69x = 67,906,328,550.20
  5. Step 5: Solve for x
    x = 67,906,328,550.20/298,812.69
  6. Step 6: Final answer
    x = 227,253.83

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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.