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Finding the Fourth Proportional to 491,469.85, 737,205.05 and 136,483.84

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Solution

The fourth proportional to 491,469.85, 737,205.05 and 136,483.84 is: 204,725.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,469.85 : 737,205.05 = 136,483.84 : x
  2. Step 2: Convert to fraction form
    491,469.85/737,205.05 = 136,483.84/x
  3. Step 3: Cross multiply
    491,469.85x = 737,205.05 × 136,483.84
  4. Step 4: Simplify right side
    491,469.85x = 100,616,576,091.39
  5. Step 5: Solve for x
    x = 100,616,576,091.39/491,469.85
  6. Step 6: Final answer
    x = 204,725.84

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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.