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Finding the Fourth Proportional to 361,937.22, 542,905.84 and 196,049.22

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Solution

The fourth proportional to 361,937.22, 542,905.84 and 196,049.22 is: 294,073.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,937.22 : 542,905.84 = 196,049.22 : x
  2. Step 2: Convert to fraction form
    361,937.22/542,905.84 = 196,049.22/x
  3. Step 3: Cross multiply
    361,937.22x = 542,905.84 × 196,049.22
  4. Step 4: Simplify right side
    361,937.22x = 106,436,266,465.45
  5. Step 5: Solve for x
    x = 106,436,266,465.45/361,937.22
  6. Step 6: Final answer
    x = 294,073.84

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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.