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Finding the Fourth Proportional to 497,735.53, 746,651.82 and 198,146.15

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Solution

The fourth proportional to 497,735.53, 746,651.82 and 198,146.15 is: 297,238.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,735.53 : 746,651.82 = 198,146.15 : x
  2. Step 2: Convert to fraction form
    497,735.53/746,651.82 = 198,146.15/x
  3. Step 3: Cross multiply
    497,735.53x = 746,651.82 × 198,146.15
  4. Step 4: Simplify right side
    497,735.53x = 147,946,183,333.23
  5. Step 5: Solve for x
    x = 147,946,183,333.23/497,735.53
  6. Step 6: Final answer
    x = 297,238.54

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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.