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Finding the Fourth Proportional to 493,046.80, 739,567.80 and 193,315.60

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Solution

The fourth proportional to 493,046.80, 739,567.80 and 193,315.60 is: 289,972.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,046.80 : 739,567.80 = 193,315.60 : x
  2. Step 2: Convert to fraction form
    493,046.80/739,567.80 = 193,315.60/x
  3. Step 3: Cross multiply
    493,046.80x = 739,567.80 × 193,315.60
  4. Step 4: Simplify right side
    493,046.80x = 142,969,992,997.68
  5. Step 5: Solve for x
    x = 142,969,992,997.68/493,046.80
  6. Step 6: Final answer
    x = 289,972.46

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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.