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Finding the Fourth Proportional to 357,902.44, 493,914.80 and 196,761.53

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Solution

The fourth proportional to 357,902.44, 493,914.80 and 196,761.53 is: 271,536.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,902.44 : 493,914.80 = 196,761.53 : x
  2. Step 2: Convert to fraction form
    357,902.44/493,914.80 = 196,761.53/x
  3. Step 3: Cross multiply
    357,902.44x = 493,914.80 × 196,761.53
  4. Step 4: Simplify right side
    357,902.44x = 97,183,431,737.64
  5. Step 5: Solve for x
    x = 97,183,431,737.64/357,902.44
  6. Step 6: Final answer
    x = 271,536.10

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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.