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Finding the Fourth Proportional to 378,436.80, 522,234.24 and 208,671.36

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Solution

The fourth proportional to 378,436.80, 522,234.24 and 208,671.36 is: 287,961.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,436.80 : 522,234.24 = 208,671.36 : x
  2. Step 2: Convert to fraction form
    378,436.80/522,234.24 = 208,671.36/x
  3. Step 3: Cross multiply
    378,436.80x = 522,234.24 × 208,671.36
  4. Step 4: Simplify right side
    378,436.80x = 108,975,329,099.37
  5. Step 5: Solve for x
    x = 108,975,329,099.37/378,436.80
  6. Step 6: Final answer
    x = 287,961.77

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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.