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Finding the Fourth Proportional to 505,769.07, 698,009.57 and 276,361.23

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Solution

The fourth proportional to 505,769.07, 698,009.57 and 276,361.23 is: 381,404.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,769.07 : 698,009.57 = 276,361.23 : x
  2. Step 2: Convert to fraction form
    505,769.07/698,009.57 = 276,361.23/x
  3. Step 3: Cross multiply
    505,769.07x = 698,009.57 × 276,361.23
  4. Step 4: Simplify right side
    505,769.07x = 192,902,783,316.97
  5. Step 5: Solve for x
    x = 192,902,783,316.97/505,769.07
  6. Step 6: Final answer
    x = 381,404.86

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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.