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Finding the Fourth Proportional to 418,511.80, 627,767.70 and 182,315.80

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Solution

The fourth proportional to 418,511.80, 627,767.70 and 182,315.80 is: 273,473.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,511.80 : 627,767.70 = 182,315.80 : x
  2. Step 2: Convert to fraction form
    418,511.80/627,767.70 = 182,315.80/x
  3. Step 3: Cross multiply
    418,511.80x = 627,767.70 × 182,315.80
  4. Step 4: Simplify right side
    418,511.80x = 114,451,970,439.66
  5. Step 5: Solve for x
    x = 114,451,970,439.66/418,511.80
  6. Step 6: Final answer
    x = 273,473.70

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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.