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Finding the Fourth Proportional to 298,049.60, 446,920.80 and 110,964.80

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Solution

The fourth proportional to 298,049.60, 446,920.80 and 110,964.80 is: 166,390.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,049.60 : 446,920.80 = 110,964.80 : x
  2. Step 2: Convert to fraction form
    298,049.60/446,920.80 = 110,964.80/x
  3. Step 3: Cross multiply
    298,049.60x = 446,920.80 × 110,964.80
  4. Step 4: Simplify right side
    298,049.60x = 49,592,477,187.84
  5. Step 5: Solve for x
    x = 49,592,477,187.84/298,049.60
  6. Step 6: Final answer
    x = 166,390.01

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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.