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Finding the Fourth Proportional to 357,902.63, 493,915.05 and 196,761.73

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Solution

The fourth proportional to 357,902.63, 493,915.05 and 196,761.73 is: 271,536.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,902.63 : 493,915.05 = 196,761.73 : x
  2. Step 2: Convert to fraction form
    357,902.63/493,915.05 = 196,761.73/x
  3. Step 3: Cross multiply
    357,902.63x = 493,915.05 × 196,761.73
  4. Step 4: Simplify right side
    357,902.63x = 97,183,581,621.56
  5. Step 5: Solve for x
    x = 97,183,581,621.56/357,902.63
  6. Step 6: Final answer
    x = 271,536.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.