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Finding the Fourth Proportional to 378,305.91, 522,065.79 and 208,546.11

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Solution

The fourth proportional to 378,305.91, 522,065.79 and 208,546.11 is: 287,795.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,305.91 : 522,065.79 = 208,546.11 : x
  2. Step 2: Convert to fraction form
    378,305.91/522,065.79 = 208,546.11/x
  3. Step 3: Cross multiply
    378,305.91x = 522,065.79 × 208,546.11
  4. Step 4: Simplify right side
    378,305.91x = 108,874,789,668.58
  5. Step 5: Solve for x
    x = 108,874,789,668.58/378,305.91
  6. Step 6: Final answer
    x = 287,795.64

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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.