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Finding the Fourth Proportional to 381,080.39, 571,694.70 and 114,827.72

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Solution

The fourth proportional to 381,080.39, 571,694.70 and 114,827.72 is: 172,263.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,080.39 : 571,694.70 = 114,827.72 : x
  2. Step 2: Convert to fraction form
    381,080.39/571,694.70 = 114,827.72/x
  3. Step 3: Cross multiply
    381,080.39x = 571,694.70 × 114,827.72
  4. Step 4: Simplify right side
    381,080.39x = 65,646,398,937.08
  5. Step 5: Solve for x
    x = 65,646,398,937.08/381,080.39
  6. Step 6: Final answer
    x = 172,263.91

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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.