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Finding the Fourth Proportional to 298,082.60, 446,970.30 and 110,997.80

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Solution

The fourth proportional to 298,082.60, 446,970.30 and 110,997.80 is: 166,439.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,082.60 : 446,970.30 = 110,997.80 : x
  2. Step 2: Convert to fraction form
    298,082.60/446,970.30 = 110,997.80/x
  3. Step 3: Cross multiply
    298,082.60x = 446,970.30 × 110,997.80
  4. Step 4: Simplify right side
    298,082.60x = 49,612,719,965.34
  5. Step 5: Solve for x
    x = 49,612,719,965.34/298,082.60
  6. Step 6: Final answer
    x = 166,439.50

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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.