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Finding the Fourth Proportional to 357,861.69, 493,855.26 and 196,723.53

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Solution

The fourth proportional to 357,861.69, 493,855.26 and 196,723.53 is: 271,481.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,861.69 : 493,855.26 = 196,723.53 : x
  2. Step 2: Convert to fraction form
    357,861.69/493,855.26 = 196,723.53/x
  3. Step 3: Cross multiply
    357,861.69x = 493,855.26 × 196,723.53
  4. Step 4: Simplify right side
    357,861.69x = 97,152,947,586.99
  5. Step 5: Solve for x
    x = 97,152,947,586.99/357,861.69
  6. Step 6: Final answer
    x = 271,481.84

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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.