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Finding the Fourth Proportional to 296,418.44, 444,599.82 and 83,206.28

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Solution

The fourth proportional to 296,418.44, 444,599.82 and 83,206.28 is: 124,801.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,418.44 : 444,599.82 = 83,206.28 : x
  2. Step 2: Convert to fraction form
    296,418.44/444,599.82 = 83,206.28/x
  3. Step 3: Cross multiply
    296,418.44x = 444,599.82 × 83,206.28
  4. Step 4: Simplify right side
    296,418.44x = 36,993,497,110.87
  5. Step 5: Solve for x
    x = 36,993,497,110.87/296,418.44
  6. Step 6: Final answer
    x = 124,801.61

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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.