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Finding the Fourth Proportional to 543,314.82, 814,787.67 and 188,245.95

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Solution

The fourth proportional to 543,314.82, 814,787.67 and 188,245.95 is: 282,304.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,314.82 : 814,787.67 = 188,245.95 : x
  2. Step 2: Convert to fraction form
    543,314.82/814,787.67 = 188,245.95/x
  3. Step 3: Cross multiply
    543,314.82x = 814,787.67 × 188,245.95
  4. Step 4: Simplify right side
    543,314.82x = 153,380,478,987.44
  5. Step 5: Solve for x
    x = 153,380,478,987.44/543,314.82
  6. Step 6: Final answer
    x = 282,304.98

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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.