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Finding the Fourth Proportional to 298,048.60, 446,919.30 and 110,963.80

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Solution

The fourth proportional to 298,048.60, 446,919.30 and 110,963.80 is: 166,388.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,048.60 : 446,919.30 = 110,963.80 : x
  2. Step 2: Convert to fraction form
    298,048.60/446,919.30 = 110,963.80/x
  3. Step 3: Cross multiply
    298,048.60x = 446,919.30 × 110,963.80
  4. Step 4: Simplify right side
    298,048.60x = 49,591,863,821.34
  5. Step 5: Solve for x
    x = 49,591,863,821.34/298,048.60
  6. Step 6: Final answer
    x = 166,388.51

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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.