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Finding the Fourth Proportional to 431,696.10, 647,544.15 and 274,232.10

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Solution

The fourth proportional to 431,696.10, 647,544.15 and 274,232.10 is: 411,348.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,696.10 : 647,544.15 = 274,232.10 : x
  2. Step 2: Convert to fraction form
    431,696.10/647,544.15 = 274,232.10/x
  3. Step 3: Cross multiply
    431,696.10x = 647,544.15 × 274,232.10
  4. Step 4: Simplify right side
    431,696.10x = 177,577,392,097.22
  5. Step 5: Solve for x
    x = 177,577,392,097.22/431,696.10
  6. Step 6: Final answer
    x = 411,348.15

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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.