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Finding the Fourth Proportional to 381,116.82, 571,697.10 and 114,849.60

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Solution

The fourth proportional to 381,116.82, 571,697.10 and 114,849.60 is: 172,280.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,116.82 : 571,697.10 = 114,849.60 : x
  2. Step 2: Convert to fraction form
    381,116.82/571,697.10 = 114,849.60/x
  3. Step 3: Cross multiply
    381,116.82x = 571,697.10 × 114,849.60
  4. Step 4: Simplify right side
    381,116.82x = 65,659,183,256.16
  5. Step 5: Solve for x
    x = 65,659,183,256.16/381,116.82
  6. Step 6: Final answer
    x = 172,280.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.