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Finding the Fourth Proportional to 382,073.20, 527,269.26 and 209,992.84

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Solution

The fourth proportional to 382,073.20, 527,269.26 and 209,992.84 is: 289,794.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,073.20 : 527,269.26 = 209,992.84 : x
  2. Step 2: Convert to fraction form
    382,073.20/527,269.26 = 209,992.84/x
  3. Step 3: Cross multiply
    382,073.20x = 527,269.26 × 209,992.84
  4. Step 4: Simplify right side
    382,073.20x = 110,722,769,352.10
  5. Step 5: Solve for x
    x = 110,722,769,352.10/382,073.20
  6. Step 6: Final answer
    x = 289,794.65

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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.