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Finding the Fourth Proportional to 298,761.98, 412,286.22 and 162,796.88

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Solution

The fourth proportional to 298,761.98, 412,286.22 and 162,796.88 is: 224,656.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,761.98 : 412,286.22 = 162,796.88 : x
  2. Step 2: Convert to fraction form
    298,761.98/412,286.22 = 162,796.88/x
  3. Step 3: Cross multiply
    298,761.98x = 412,286.22 × 162,796.88
  4. Step 4: Simplify right side
    298,761.98x = 67,118,910,282.99
  5. Step 5: Solve for x
    x = 67,118,910,282.99/298,761.98
  6. Step 6: Final answer
    x = 224,656.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.