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Finding the Fourth Proportional to 297,998.40, 446,997.60 and 172,027.20

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Solution

The fourth proportional to 297,998.40, 446,997.60 and 172,027.20 is: 258,040.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,998.40 : 446,997.60 = 172,027.20 : x
  2. Step 2: Convert to fraction form
    297,998.40/446,997.60 = 172,027.20/x
  3. Step 3: Cross multiply
    297,998.40x = 446,997.60 × 172,027.20
  4. Step 4: Simplify right side
    297,998.40x = 76,895,745,534.72
  5. Step 5: Solve for x
    x = 76,895,745,534.72/297,998.40
  6. Step 6: Final answer
    x = 258,040.80

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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.