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Finding the Fourth Proportional to 507,132.54, 699,811.94 and 277,692.55

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Solution

The fourth proportional to 507,132.54, 699,811.94 and 277,692.55 is: 383,198.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,132.54 : 699,811.94 = 277,692.55 : x
  2. Step 2: Convert to fraction form
    507,132.54/699,811.94 = 277,692.55/x
  3. Step 3: Cross multiply
    507,132.54x = 699,811.94 × 277,692.55
  4. Step 4: Simplify right side
    507,132.54x = 194,332,561,083.75
  5. Step 5: Solve for x
    x = 194,332,561,083.75/507,132.54
  6. Step 6: Final answer
    x = 383,198.76

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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.