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Finding the Fourth Proportional to 493,433.90, 739,166.70 and 343,843.10

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Solution

The fourth proportional to 493,433.90, 739,166.70 and 343,843.10 is: 515,078.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,433.90 : 739,166.70 = 343,843.10 : x
  2. Step 2: Convert to fraction form
    493,433.90/739,166.70 = 343,843.10/x
  3. Step 3: Cross multiply
    493,433.90x = 739,166.70 × 343,843.10
  4. Step 4: Simplify right side
    493,433.90x = 254,157,369,544.77
  5. Step 5: Solve for x
    x = 254,157,369,544.77/493,433.90
  6. Step 6: Final answer
    x = 515,078.86

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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.