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Finding the Fourth Proportional to 378,863.83, 522,833.19 and 206,783.38

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Solution

The fourth proportional to 378,863.83, 522,833.19 and 206,783.38 is: 285,361.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,863.83 : 522,833.19 = 206,783.38 : x
  2. Step 2: Convert to fraction form
    378,863.83/522,833.19 = 206,783.38/x
  3. Step 3: Cross multiply
    378,863.83x = 522,833.19 × 206,783.38
  4. Step 4: Simplify right side
    378,863.83x = 108,113,214,204.38
  5. Step 5: Solve for x
    x = 108,113,214,204.38/378,863.83
  6. Step 6: Final answer
    x = 285,361.67

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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.