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Finding the Fourth Proportional to 277,817.40, 416,014.02 and 192,309.84

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Solution

The fourth proportional to 277,817.40, 416,014.02 and 192,309.84 is: 287,971.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,817.40 : 416,014.02 = 192,309.84 : x
  2. Step 2: Convert to fraction form
    277,817.40/416,014.02 = 192,309.84/x
  3. Step 3: Cross multiply
    277,817.40x = 416,014.02 × 192,309.84
  4. Step 4: Simplify right side
    277,817.40x = 80,003,589,623.96
  5. Step 5: Solve for x
    x = 80,003,589,623.96/277,817.40
  6. Step 6: Final answer
    x = 287,971.85

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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.