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Finding the Fourth Proportional to 367,135.83, 550,869 and 198,458.67

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Solution

The fourth proportional to 367,135.83, 550,869 and 198,458.67 is: 297,777.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,135.83 : 550,869 = 198,458.67 : x
  2. Step 2: Convert to fraction form
    367,135.83/550,869 = 198,458.67/x
  3. Step 3: Cross multiply
    367,135.83x = 550,869 × 198,458.67
  4. Step 4: Simplify right side
    367,135.83x = 109,324,729,084.23
  5. Step 5: Solve for x
    x = 109,324,729,084.23/367,135.83
  6. Step 6: Final answer
    x = 297,777.34

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1.5x scale

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.