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Finding the Fourth Proportional to 273,684.30, 409,542.30 and 185,110.80

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Solution

The fourth proportional to 273,684.30, 409,542.30 and 185,110.80 is: 277,000.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,684.30 : 409,542.30 = 185,110.80 : x
  2. Step 2: Convert to fraction form
    273,684.30/409,542.30 = 185,110.80/x
  3. Step 3: Cross multiply
    273,684.30x = 409,542.30 × 185,110.80
  4. Step 4: Simplify right side
    273,684.30x = 75,810,702,786.84
  5. Step 5: Solve for x
    x = 75,810,702,786.84/273,684.30
  6. Step 6: Final answer
    x = 277,000.55

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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.