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Finding the Fourth Proportional to 546,993.62, 820,619.30 and 187,168.38

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Solution

The fourth proportional to 546,993.62, 820,619.30 and 187,168.38 is: 280,796.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,993.62 : 820,619.30 = 187,168.38 : x
  2. Step 2: Convert to fraction form
    546,993.62/820,619.30 = 187,168.38/x
  3. Step 3: Cross multiply
    546,993.62x = 820,619.30 × 187,168.38
  4. Step 4: Simplify right side
    546,993.62x = 153,593,988,522.98
  5. Step 5: Solve for x
    x = 153,593,988,522.98/546,993.62
  6. Step 6: Final answer
    x = 280,796.68

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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.