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Finding the Fourth Proportional to 378,132.14, 521,833.50 and 208,377.20

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Solution

The fourth proportional to 378,132.14, 521,833.50 and 208,377.20 is: 287,566.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,132.14 : 521,833.50 = 208,377.20 : x
  2. Step 2: Convert to fraction form
    378,132.14/521,833.50 = 208,377.20/x
  3. Step 3: Cross multiply
    378,132.14x = 521,833.50 × 208,377.20
  4. Step 4: Simplify right side
    378,132.14x = 108,738,203,596.20
  5. Step 5: Solve for x
    x = 108,738,203,596.20/378,132.14
  6. Step 6: Final answer
    x = 287,566.68

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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.