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Finding the Fourth Proportional to 298,601.40, 448,074.90 and 111,631.80

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Solution

The fourth proportional to 298,601.40, 448,074.90 and 111,631.80 is: 167,512.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,601.40 : 448,074.90 = 111,631.80 : x
  2. Step 2: Convert to fraction form
    298,601.40/448,074.90 = 111,631.80/x
  3. Step 3: Cross multiply
    298,601.40x = 448,074.90 × 111,631.80
  4. Step 4: Simplify right side
    298,601.40x = 50,019,407,621.82
  5. Step 5: Solve for x
    x = 50,019,407,621.82/298,601.40
  6. Step 6: Final answer
    x = 167,512.30

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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.