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Finding the Fourth Proportional to 378,116.92, 521,826.64 and 208,351.05

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Solution

The fourth proportional to 378,116.92, 521,826.64 and 208,351.05 is: 287,538.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,116.92 : 521,826.64 = 208,351.05 : x
  2. Step 2: Convert to fraction form
    378,116.92/521,826.64 = 208,351.05/x
  3. Step 3: Cross multiply
    378,116.92x = 521,826.64 × 208,351.05
  4. Step 4: Simplify right side
    378,116.92x = 108,723,128,361.97
  5. Step 5: Solve for x
    x = 108,723,128,361.97/378,116.92
  6. Step 6: Final answer
    x = 287,538.38

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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.