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Finding the Fourth Proportional to 332,813.80, 499,293.60 and 164,414.80

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Solution

The fourth proportional to 332,813.80, 499,293.60 and 164,414.80 is: 246,658.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,813.80 : 499,293.60 = 164,414.80 : x
  2. Step 2: Convert to fraction form
    332,813.80/499,293.60 = 164,414.80/x
  3. Step 3: Cross multiply
    332,813.80x = 499,293.60 × 164,414.80
  4. Step 4: Simplify right side
    332,813.80x = 82,091,257,385.28
  5. Step 5: Solve for x
    x = 82,091,257,385.28/332,813.80
  6. Step 6: Final answer
    x = 246,658.21

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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.