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Finding the Fourth Proportional to 378,264.38, 522,004.86 and 208,502.15

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Solution

The fourth proportional to 378,264.38, 522,004.86 and 208,502.15 is: 287,732.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,264.38 : 522,004.86 = 208,502.15 : x
  2. Step 2: Convert to fraction form
    378,264.38/522,004.86 = 208,502.15/x
  3. Step 3: Cross multiply
    378,264.38x = 522,004.86 × 208,502.15
  4. Step 4: Simplify right side
    378,264.38x = 108,839,133,010.43
  5. Step 5: Solve for x
    x = 108,839,133,010.43/378,264.38
  6. Step 6: Final answer
    x = 287,732.97

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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.