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Finding the Fourth Proportional to 378,147.52, 521,819 and 208,381.64

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Solution

The fourth proportional to 378,147.52, 521,819 and 208,381.64 is: 287,553.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,147.52 : 521,819 = 208,381.64 : x
  2. Step 2: Convert to fraction form
    378,147.52/521,819 = 208,381.64/x
  3. Step 3: Cross multiply
    378,147.52x = 521,819 × 208,381.64
  4. Step 4: Simplify right side
    378,147.52x = 108,737,499,003.16
  5. Step 5: Solve for x
    x = 108,737,499,003.16/378,147.52
  6. Step 6: Final answer
    x = 287,553.12

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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.