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Finding the Fourth Proportional to 382,053.12, 527,198.99 and 209,969.20

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Solution

The fourth proportional to 382,053.12, 527,198.99 and 209,969.20 is: 289,738.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,053.12 : 527,198.99 = 209,969.20 : x
  2. Step 2: Convert to fraction form
    382,053.12/527,198.99 = 209,969.20/x
  3. Step 3: Cross multiply
    382,053.12x = 527,198.99 × 209,969.20
  4. Step 4: Simplify right side
    382,053.12x = 110,695,550,171.11
  5. Step 5: Solve for x
    x = 110,695,550,171.11/382,053.12
  6. Step 6: Final answer
    x = 289,738.64

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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.