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Finding the Fourth Proportional to 496,099.20, 744,321.60 and 215,817.60

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Solution

The fourth proportional to 496,099.20, 744,321.60 and 215,817.60 is: 323,801.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,099.20 : 744,321.60 = 215,817.60 : x
  2. Step 2: Convert to fraction form
    496,099.20/744,321.60 = 215,817.60/x
  3. Step 3: Cross multiply
    496,099.20x = 744,321.60 × 215,817.60
  4. Step 4: Simplify right side
    496,099.20x = 160,637,701,340.16
  5. Step 5: Solve for x
    x = 160,637,701,340.16/496,099.20
  6. Step 6: Final answer
    x = 323,801.57

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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.