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Finding the Fourth Proportional to 357,984.93, 494,021.03 and 196,850.42

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Solution

The fourth proportional to 357,984.93, 494,021.03 and 196,850.42 is: 271,654.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,984.93 : 494,021.03 = 196,850.42 : x
  2. Step 2: Convert to fraction form
    357,984.93/494,021.03 = 196,850.42/x
  3. Step 3: Cross multiply
    357,984.93x = 494,021.03 × 196,850.42
  4. Step 4: Simplify right side
    357,984.93x = 97,248,247,244.33
  5. Step 5: Solve for x
    x = 97,248,247,244.33/357,984.93
  6. Step 6: Final answer
    x = 271,654.58

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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.