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Finding the Fourth Proportional to 378,125.38, 521,824.16 and 208,370.44

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Solution

The fourth proportional to 378,125.38, 521,824.16 and 208,370.44 is: 287,557.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,125.38 : 521,824.16 = 208,370.44 : x
  2. Step 2: Convert to fraction form
    378,125.38/521,824.16 = 208,370.44/x
  3. Step 3: Cross multiply
    378,125.38x = 521,824.16 × 208,370.44
  4. Step 4: Simplify right side
    378,125.38x = 108,732,729,821.83
  5. Step 5: Solve for x
    x = 108,732,729,821.83/378,125.38
  6. Step 6: Final answer
    x = 287,557.34

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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.