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Finding the Fourth Proportional to 357,757.38, 493,699.50 and 196,608.96

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Solution

The fourth proportional to 357,757.38, 493,699.50 and 196,608.96 is: 271,317.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,757.38 : 493,699.50 = 196,608.96 : x
  2. Step 2: Convert to fraction form
    357,757.38/493,699.50 = 196,608.96/x
  3. Step 3: Cross multiply
    357,757.38x = 493,699.50 × 196,608.96
  4. Step 4: Simplify right side
    357,757.38x = 97,065,745,247.52
  5. Step 5: Solve for x
    x = 97,065,745,247.52/357,757.38
  6. Step 6: Final answer
    x = 271,317.24

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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.