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Finding the Fourth Proportional to 297,662.80, 446,647.30 and 164,518.24

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Solution

The fourth proportional to 297,662.80, 446,647.30 and 164,518.24 is: 246,861.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,662.80 : 446,647.30 = 164,518.24 : x
  2. Step 2: Convert to fraction form
    297,662.80/446,647.30 = 164,518.24/x
  3. Step 3: Cross multiply
    297,662.80x = 446,647.30 × 164,518.24
  4. Step 4: Simplify right side
    297,662.80x = 73,481,627,696.75
  5. Step 5: Solve for x
    x = 73,481,627,696.75/297,662.80
  6. Step 6: Final answer
    x = 246,861.98

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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.