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Finding the Fourth Proportional to 381,898.98, 527,020.92 and 209,828.04

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Solution

The fourth proportional to 381,898.98, 527,020.92 and 209,828.04 is: 289,562.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,898.98 : 527,020.92 = 209,828.04 : x
  2. Step 2: Convert to fraction form
    381,898.98/527,020.92 = 209,828.04/x
  3. Step 3: Cross multiply
    381,898.98x = 527,020.92 × 209,828.04
  4. Step 4: Simplify right side
    381,898.98x = 110,583,766,682.60
  5. Step 5: Solve for x
    x = 110,583,766,682.60/381,898.98
  6. Step 6: Final answer
    x = 289,562.88

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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.