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Finding the Fourth Proportional to 263,595, 394,400.50 and 184,862.84

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Solution

The fourth proportional to 263,595, 394,400.50 and 184,862.84 is: 276,598.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,595 : 394,400.50 = 184,862.84 : x
  2. Step 2: Convert to fraction form
    263,595/394,400.50 = 184,862.84/x
  3. Step 3: Cross multiply
    263,595x = 394,400.50 × 184,862.84
  4. Step 4: Simplify right side
    263,595x = 72,909,996,527.42
  5. Step 5: Solve for x
    x = 72,909,996,527.42/263,595
  6. Step 6: Final answer
    x = 276,598.56

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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.