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Finding the Fourth Proportional to 277,764.80, 416,647.20 and 237,675.20

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Solution

The fourth proportional to 277,764.80, 416,647.20 and 237,675.20 is: 356,512.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,764.80 : 416,647.20 = 237,675.20 : x
  2. Step 2: Convert to fraction form
    277,764.80/416,647.20 = 237,675.20/x
  3. Step 3: Cross multiply
    277,764.80x = 416,647.20 × 237,675.20
  4. Step 4: Simplify right side
    277,764.80x = 99,026,706,589.44
  5. Step 5: Solve for x
    x = 99,026,706,589.44/277,764.80
  6. Step 6: Final answer
    x = 356,512.80

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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.