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Finding the Fourth Proportional to 349,696.19, 482,581.46 and 206,465.44

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Solution

The fourth proportional to 349,696.19, 482,581.46 and 206,465.44 is: 284,922.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,696.19 : 482,581.46 = 206,465.44 : x
  2. Step 2: Convert to fraction form
    349,696.19/482,581.46 = 206,465.44/x
  3. Step 3: Cross multiply
    349,696.19x = 482,581.46 × 206,465.44
  4. Step 4: Simplify right side
    349,696.19x = 99,636,393,474.74
  5. Step 5: Solve for x
    x = 99,636,393,474.74/349,696.19
  6. Step 6: Final answer
    x = 284,922.73

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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.