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Finding the Fourth Proportional to 298,494.37, 447,745.01 and 127,692.86

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Solution

The fourth proportional to 298,494.37, 447,745.01 and 127,692.86 is: 191,540.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,494.37 : 447,745.01 = 127,692.86 : x
  2. Step 2: Convert to fraction form
    298,494.37/447,745.01 = 127,692.86/x
  3. Step 3: Cross multiply
    298,494.37x = 447,745.01 × 127,692.86
  4. Step 4: Simplify right side
    298,494.37x = 57,173,838,000.44
  5. Step 5: Solve for x
    x = 57,173,838,000.44/298,494.37
  6. Step 6: Final answer
    x = 191,540.76

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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.