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Finding the Fourth Proportional to 378,421.08, 522,194.32 and 208,651.56

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Solution

The fourth proportional to 378,421.08, 522,194.32 and 208,651.56 is: 287,924.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,421.08 : 522,194.32 = 208,651.56 : x
  2. Step 2: Convert to fraction form
    378,421.08/522,194.32 = 208,651.56/x
  3. Step 3: Cross multiply
    378,421.08x = 522,194.32 × 208,651.56
  4. Step 4: Simplify right side
    378,421.08x = 108,956,659,491.14
  5. Step 5: Solve for x
    x = 108,956,659,491.14/378,421.08
  6. Step 6: Final answer
    x = 287,924.39

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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.