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Finding the Fourth Proportional to 381,923.20, 527,027.20 and 212,147.20

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Solution

The fourth proportional to 381,923.20, 527,027.20 and 212,147.20 is: 292,748.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,923.20 : 527,027.20 = 212,147.20 : x
  2. Step 2: Convert to fraction form
    381,923.20/527,027.20 = 212,147.20/x
  3. Step 3: Cross multiply
    381,923.20x = 527,027.20 × 212,147.20
  4. Step 4: Simplify right side
    381,923.20x = 111,807,344,803.84
  5. Step 5: Solve for x
    x = 111,807,344,803.84/381,923.20
  6. Step 6: Final answer
    x = 292,748.24

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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.