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Finding the Fourth Proportional to 304,920.82, 457,339.71 and 80,262.44

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Solution

The fourth proportional to 304,920.82, 457,339.71 and 80,262.44 is: 120,382.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,920.82 : 457,339.71 = 80,262.44 : x
  2. Step 2: Convert to fraction form
    304,920.82/457,339.71 = 80,262.44/x
  3. Step 3: Cross multiply
    304,920.82x = 457,339.71 × 80,262.44
  4. Step 4: Simplify right side
    304,920.82x = 36,707,201,033.49
  5. Step 5: Solve for x
    x = 36,707,201,033.49/304,920.82
  6. Step 6: Final answer
    x = 120,382.73

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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.