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Finding the Fourth Proportional to 493,321.40, 739,682.46 and 193,442.68

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Solution

The fourth proportional to 493,321.40, 739,682.46 and 193,442.68 is: 290,046.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,321.40 : 739,682.46 = 193,442.68 : x
  2. Step 2: Convert to fraction form
    493,321.40/739,682.46 = 193,442.68/x
  3. Step 3: Cross multiply
    493,321.40x = 739,682.46 × 193,442.68
  4. Step 4: Simplify right side
    493,321.40x = 143,086,157,411.39
  5. Step 5: Solve for x
    x = 143,086,157,411.39/493,321.40
  6. Step 6: Final answer
    x = 290,046.52

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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.