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Finding the Fourth Proportional to 381,896.89, 527,026.07 and 209,817.07

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Solution

The fourth proportional to 381,896.89, 527,026.07 and 209,817.07 is: 289,552.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,896.89 : 527,026.07 = 209,817.07 : x
  2. Step 2: Convert to fraction form
    381,896.89/527,026.07 = 209,817.07/x
  3. Step 3: Cross multiply
    381,896.89x = 527,026.07 × 209,817.07
  4. Step 4: Simplify right side
    381,896.89x = 110,579,065,027.99
  5. Step 5: Solve for x
    x = 110,579,065,027.99/381,896.89
  6. Step 6: Final answer
    x = 289,552.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.