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Finding the Fourth Proportional to 548,046.10, 756,338.97 and 306,338.86

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Solution

The fourth proportional to 548,046.10, 756,338.97 and 306,338.86 is: 422,767.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,046.10 : 756,338.97 = 306,338.86 : x
  2. Step 2: Convert to fraction form
    548,046.10/756,338.97 = 306,338.86/x
  3. Step 3: Cross multiply
    548,046.10x = 756,338.97 × 306,338.86
  4. Step 4: Simplify right side
    548,046.10x = 231,696,017,843.37
  5. Step 5: Solve for x
    x = 231,696,017,843.37/548,046.10
  6. Step 6: Final answer
    x = 422,767.39

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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.