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Finding the Fourth Proportional to 277,817.52, 416,744.56 and 109,324.56

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Solution

The fourth proportional to 277,817.52, 416,744.56 and 109,324.56 is: 163,994.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,817.52 : 416,744.56 = 109,324.56 : x
  2. Step 2: Convert to fraction form
    277,817.52/416,744.56 = 109,324.56/x
  3. Step 3: Cross multiply
    277,817.52x = 416,744.56 × 109,324.56
  4. Step 4: Simplify right side
    277,817.52x = 45,560,415,654.39
  5. Step 5: Solve for x
    x = 45,560,415,654.39/277,817.52
  6. Step 6: Final answer
    x = 163,994.03

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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.