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Finding the Fourth Proportional to 412,915.26, 619,172.42 and 242,183.46

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Solution

The fourth proportional to 412,915.26, 619,172.42 and 242,183.46 is: 363,157.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,915.26 : 619,172.42 = 242,183.46 : x
  2. Step 2: Convert to fraction form
    412,915.26/619,172.42 = 242,183.46/x
  3. Step 3: Cross multiply
    412,915.26x = 619,172.42 × 242,183.46
  4. Step 4: Simplify right side
    412,915.26x = 149,953,317,801.26
  5. Step 5: Solve for x
    x = 149,953,317,801.26/412,915.26
  6. Step 6: Final answer
    x = 363,157.61

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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.