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Finding the Fourth Proportional to 378,233.36, 521,960.46 and 208,467.44

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Solution

The fourth proportional to 378,233.36, 521,960.46 and 208,467.44 is: 287,684.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,233.36 : 521,960.46 = 208,467.44 : x
  2. Step 2: Convert to fraction form
    378,233.36/521,960.46 = 208,467.44/x
  3. Step 3: Cross multiply
    378,233.36x = 521,960.46 × 208,467.44
  4. Step 4: Simplify right side
    378,233.36x = 108,811,760,877.42
  5. Step 5: Solve for x
    x = 108,811,760,877.42/378,233.36
  6. Step 6: Final answer
    x = 287,684.20

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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.