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Finding the Fourth Proportional to 442,076.98, 663,144.60 and 161,791.06

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Solution

The fourth proportional to 442,076.98, 663,144.60 and 161,791.06 is: 242,697.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,076.98 : 663,144.60 = 161,791.06 : x
  2. Step 2: Convert to fraction form
    442,076.98/663,144.60 = 161,791.06/x
  3. Step 3: Cross multiply
    442,076.98x = 663,144.60 × 161,791.06
  4. Step 4: Simplify right side
    442,076.98x = 107,290,867,767.28
  5. Step 5: Solve for x
    x = 107,290,867,767.28/442,076.98
  6. Step 6: Final answer
    x = 242,697.25

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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.