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Finding the Fourth Proportional to 378,217.96, 521,944.42 and 208,458.60

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Solution

The fourth proportional to 378,217.96, 521,944.42 and 208,458.60 is: 287,674.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,217.96 : 521,944.42 = 208,458.60 : x
  2. Step 2: Convert to fraction form
    378,217.96/521,944.42 = 208,458.60/x
  3. Step 3: Cross multiply
    378,217.96x = 521,944.42 × 208,458.60
  4. Step 4: Simplify right side
    378,217.96x = 108,803,803,071.01
  5. Step 5: Solve for x
    x = 108,803,803,071.01/378,217.96
  6. Step 6: Final answer
    x = 287,674.87

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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.