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Finding the Fourth Proportional to 357,737.85, 493,654.37 and 196,589.43

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Solution

The fourth proportional to 357,737.85, 493,654.37 and 196,589.43 is: 271,280.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,737.85 : 493,654.37 = 196,589.43 : x
  2. Step 2: Convert to fraction form
    357,737.85/493,654.37 = 196,589.43/x
  3. Step 3: Cross multiply
    357,737.85x = 493,654.37 × 196,589.43
  4. Step 4: Simplify right side
    357,737.85x = 97,047,230,232.36
  5. Step 5: Solve for x
    x = 97,047,230,232.36/357,737.85
  6. Step 6: Final answer
    x = 271,280.30

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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.