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Finding the Fourth Proportional to 361,706.54, 499,161 and 200,568.38

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Solution

The fourth proportional to 361,706.54, 499,161 and 200,568.38 is: 276,787.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,706.54 : 499,161 = 200,568.38 : x
  2. Step 2: Convert to fraction form
    361,706.54/499,161 = 200,568.38/x
  3. Step 3: Cross multiply
    361,706.54x = 499,161 × 200,568.38
  4. Step 4: Simplify right side
    361,706.54x = 100,115,913,129.18
  5. Step 5: Solve for x
    x = 100,115,913,129.18/361,706.54
  6. Step 6: Final answer
    x = 276,787.68

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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.