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Finding the Fourth Proportional to 378,174.20, 521,905.02 and 217,081.40

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Solution

The fourth proportional to 378,174.20, 521,905.02 and 217,081.40 is: 299,586.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,174.20 : 521,905.02 = 217,081.40 : x
  2. Step 2: Convert to fraction form
    378,174.20/521,905.02 = 217,081.40/x
  3. Step 3: Cross multiply
    378,174.20x = 521,905.02 × 217,081.40
  4. Step 4: Simplify right side
    378,174.20x = 113,295,872,408.63
  5. Step 5: Solve for x
    x = 113,295,872,408.63/378,174.20
  6. Step 6: Final answer
    x = 299,586.47

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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.