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Finding the Fourth Proportional to 297,997.52, 447,023.28 and 98,318.48

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Solution

The fourth proportional to 297,997.52, 447,023.28 and 98,318.48 is: 147,486.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,997.52 : 447,023.28 = 98,318.48 : x
  2. Step 2: Convert to fraction form
    297,997.52/447,023.28 = 98,318.48/x
  3. Step 3: Cross multiply
    297,997.52x = 447,023.28 × 98,318.48
  4. Step 4: Simplify right side
    297,997.52x = 43,950,649,414.21
  5. Step 5: Solve for x
    x = 43,950,649,414.21/297,997.52
  6. Step 6: Final answer
    x = 147,486.63

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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.