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Finding the Fourth Proportional to 381,951.66, 527,090.68 and 209,871.44

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Solution

The fourth proportional to 381,951.66, 527,090.68 and 209,871.44 is: 289,621.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,951.66 : 527,090.68 = 209,871.44 : x
  2. Step 2: Convert to fraction form
    381,951.66/527,090.68 = 209,871.44/x
  3. Step 3: Cross multiply
    381,951.66x = 527,090.68 × 209,871.44
  4. Step 4: Simplify right side
    381,951.66x = 110,621,278,445.13
  5. Step 5: Solve for x
    x = 110,621,278,445.13/381,951.66
  6. Step 6: Final answer
    x = 289,621.15

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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.