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Finding the Fourth Proportional to 357,919.50, 493,916.32 and 196,773.38

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Solution

The fourth proportional to 357,919.50, 493,916.32 and 196,773.38 is: 271,540.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,919.50 : 493,916.32 = 196,773.38 : x
  2. Step 2: Convert to fraction form
    357,919.50/493,916.32 = 196,773.38/x
  3. Step 3: Cross multiply
    357,919.50x = 493,916.32 × 196,773.38
  4. Step 4: Simplify right side
    357,919.50x = 97,189,583,723.56
  5. Step 5: Solve for x
    x = 97,189,583,723.56/357,919.50
  6. Step 6: Final answer
    x = 271,540.34

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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.