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Finding the Fourth Proportional to 378,137.66, 521,833.47 and 208,377.86

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Solution

The fourth proportional to 378,137.66, 521,833.47 and 208,377.86 is: 287,563.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,137.66 : 521,833.47 = 208,377.86 : x
  2. Step 2: Convert to fraction form
    378,137.66/521,833.47 = 208,377.86/x
  3. Step 3: Cross multiply
    378,137.66x = 521,833.47 × 208,377.86
  4. Step 4: Simplify right side
    378,137.66x = 108,738,541,754.97
  5. Step 5: Solve for x
    x = 108,738,541,754.97/378,137.66
  6. Step 6: Final answer
    x = 287,563.38

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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.