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Finding the Fourth Proportional to 378,121.08, 521,832.38 and 208,355.20

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Solution

The fourth proportional to 378,121.08, 521,832.38 and 208,355.20 is: 287,544.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,121.08 : 521,832.38 = 208,355.20 : x
  2. Step 2: Convert to fraction form
    378,121.08/521,832.38 = 208,355.20/x
  3. Step 3: Cross multiply
    378,121.08x = 521,832.38 × 208,355.20
  4. Step 4: Simplify right side
    378,121.08x = 108,726,490,490.33
  5. Step 5: Solve for x
    x = 108,726,490,490.33/378,121.08
  6. Step 6: Final answer
    x = 287,544.11

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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.