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Finding the Fourth Proportional to 381,939.99, 527,080.91 and 209,855.19

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Solution

The fourth proportional to 381,939.99, 527,080.91 and 209,855.19 is: 289,602.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,939.99 : 527,080.91 = 209,855.19 : x
  2. Step 2: Convert to fraction form
    381,939.99/527,080.91 = 209,855.19/x
  3. Step 3: Cross multiply
    381,939.99x = 527,080.91 × 209,855.19
  4. Step 4: Simplify right side
    381,939.99x = 110,610,663,464.15
  5. Step 5: Solve for x
    x = 110,610,663,464.15/381,939.99
  6. Step 6: Final answer
    x = 289,602.21

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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.