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Finding the Fourth Proportional to 491,834.34, 737,852.22 and 207,524.97

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Solution

The fourth proportional to 491,834.34, 737,852.22 and 207,524.97 is: 311,329.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,834.34 : 737,852.22 = 207,524.97 : x
  2. Step 2: Convert to fraction form
    491,834.34/737,852.22 = 207,524.97/x
  3. Step 3: Cross multiply
    491,834.34x = 737,852.22 × 207,524.97
  4. Step 4: Simplify right side
    491,834.34x = 153,122,759,819.93
  5. Step 5: Solve for x
    x = 153,122,759,819.93/491,834.34
  6. Step 6: Final answer
    x = 311,329.95

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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.