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Finding the Fourth Proportional to 378,077.82, 521,749.02 and 208,311.96

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Solution

The fourth proportional to 378,077.82, 521,749.02 and 208,311.96 is: 287,471.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,077.82 : 521,749.02 = 208,311.96 : x
  2. Step 2: Convert to fraction form
    378,077.82/521,749.02 = 208,311.96/x
  3. Step 3: Cross multiply
    378,077.82x = 521,749.02 × 208,311.96
  4. Step 4: Simplify right side
    378,077.82x = 108,686,560,984.28
  5. Step 5: Solve for x
    x = 108,686,560,984.28/378,077.82
  6. Step 6: Final answer
    x = 287,471.40

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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.