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Finding the Fourth Proportional to 381,903.68, 527,028.53 and 209,835.56

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Solution

The fourth proportional to 381,903.68, 527,028.53 and 209,835.56 is: 289,573.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,903.68 : 527,028.53 = 209,835.56 : x
  2. Step 2: Convert to fraction form
    381,903.68/527,028.53 = 209,835.56/x
  3. Step 3: Cross multiply
    381,903.68x = 527,028.53 × 209,835.56
  4. Step 4: Simplify right side
    381,903.68x = 110,589,323,044.21
  5. Step 5: Solve for x
    x = 110,589,323,044.21/381,903.68
  6. Step 6: Final answer
    x = 289,573.86

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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.