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Finding the Fourth Proportional to 349,382.87, 482,165.44 and 196,469.18

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Solution

The fourth proportional to 349,382.87, 482,165.44 and 196,469.18 is: 271,137.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,382.87 : 482,165.44 = 196,469.18 : x
  2. Step 2: Convert to fraction form
    349,382.87/482,165.44 = 196,469.18/x
  3. Step 3: Cross multiply
    349,382.87x = 482,165.44 × 196,469.18
  4. Step 4: Simplify right side
    349,382.87x = 94,730,645,719.14
  5. Step 5: Solve for x
    x = 94,730,645,719.14/349,382.87
  6. Step 6: Final answer
    x = 271,137.07

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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.