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Finding the Fourth Proportional to 505,932.42, 698,188.56 and 276,489.81

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Solution

The fourth proportional to 505,932.42, 698,188.56 and 276,489.81 is: 381,556.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,932.42 : 698,188.56 = 276,489.81 : x
  2. Step 2: Convert to fraction form
    505,932.42/698,188.56 = 276,489.81/x
  3. Step 3: Cross multiply
    505,932.42x = 698,188.56 × 276,489.81
  4. Step 4: Simplify right side
    505,932.42x = 193,042,022,816.99
  5. Step 5: Solve for x
    x = 193,042,022,816.99/505,932.42
  6. Step 6: Final answer
    x = 381,556.94

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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.