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Finding the Fourth Proportional to 383,845.68, 575,768.52 and 196,737.84

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Solution

The fourth proportional to 383,845.68, 575,768.52 and 196,737.84 is: 295,106.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,845.68 : 575,768.52 = 196,737.84 : x
  2. Step 2: Convert to fraction form
    383,845.68/575,768.52 = 196,737.84/x
  3. Step 3: Cross multiply
    383,845.68x = 575,768.52 × 196,737.84
  4. Step 4: Simplify right side
    383,845.68x = 113,275,454,964.80
  5. Step 5: Solve for x
    x = 113,275,454,964.80/383,845.68
  6. Step 6: Final answer
    x = 295,106.76

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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.