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Finding the Fourth Proportional to 277,846.40, 416,186.40 and 231,190.40

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Solution

The fourth proportional to 277,846.40, 416,186.40 and 231,190.40 is: 346,300.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,846.40 : 416,186.40 = 231,190.40 : x
  2. Step 2: Convert to fraction form
    277,846.40/416,186.40 = 231,190.40/x
  3. Step 3: Cross multiply
    277,846.40x = 416,186.40 × 231,190.40
  4. Step 4: Simplify right side
    277,846.40x = 96,218,300,290.56
  5. Step 5: Solve for x
    x = 96,218,300,290.56/277,846.40
  6. Step 6: Final answer
    x = 346,300.33

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