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Finding the Fourth Proportional to 263,594, 394,399 and 184,861.84

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Solution

The fourth proportional to 263,594, 394,399 and 184,861.84 is: 276,597.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,594 : 394,399 = 184,861.84 : x
  2. Step 2: Convert to fraction form
    263,594/394,399 = 184,861.84/x
  3. Step 3: Cross multiply
    263,594x = 394,399 × 184,861.84
  4. Step 4: Simplify right side
    263,594x = 72,909,324,834.16
  5. Step 5: Solve for x
    x = 72,909,324,834.16/263,594
  6. Step 6: Final answer
    x = 276,597.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.