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Finding the Fourth Proportional to 332,137.20, 498,205.80 and 191,731.80

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Solution

The fourth proportional to 332,137.20, 498,205.80 and 191,731.80 is: 287,597.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,137.20 : 498,205.80 = 191,731.80 : x
  2. Step 2: Convert to fraction form
    332,137.20/498,205.80 = 191,731.80/x
  3. Step 3: Cross multiply
    332,137.20x = 498,205.80 × 191,731.80
  4. Step 4: Simplify right side
    332,137.20x = 95,521,894,804.44
  5. Step 5: Solve for x
    x = 95,521,894,804.44/332,137.20
  6. Step 6: Final answer
    x = 287,597.70

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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.