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Finding the Fourth Proportional to 378,137.16, 521,832.78 and 208,377.36

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Solution

The fourth proportional to 378,137.16, 521,832.78 and 208,377.36 is: 287,562.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,137.16 : 521,832.78 = 208,377.36 : x
  2. Step 2: Convert to fraction form
    378,137.16/521,832.78 = 208,377.36/x
  3. Step 3: Cross multiply
    378,137.16x = 521,832.78 × 208,377.36
  4. Step 4: Simplify right side
    378,137.16x = 108,738,137,057.86
  5. Step 5: Solve for x
    x = 108,738,137,057.86/378,137.16
  6. Step 6: Final answer
    x = 287,562.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.