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Finding the Fourth Proportional to 393,539.86, 543,082.50 and 223,774

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Solution

The fourth proportional to 393,539.86, 543,082.50 and 223,774 is: 308,806.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,539.86 : 543,082.50 = 223,774 : x
  2. Step 2: Convert to fraction form
    393,539.86/543,082.50 = 223,774/x
  3. Step 3: Cross multiply
    393,539.86x = 543,082.50 × 223,774
  4. Step 4: Simplify right side
    393,539.86x = 121,527,743,355
  5. Step 5: Solve for x
    x = 121,527,743,355/393,539.86
  6. Step 6: Final answer
    x = 308,806.69

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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.