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Finding the Fourth Proportional to 273,685.80, 409,544.55 and 185,112.30

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Solution

The fourth proportional to 273,685.80, 409,544.55 and 185,112.30 is: 277,002.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,685.80 : 409,544.55 = 185,112.30 : x
  2. Step 2: Convert to fraction form
    273,685.80/409,544.55 = 185,112.30/x
  3. Step 3: Cross multiply
    273,685.80x = 409,544.55 × 185,112.30
  4. Step 4: Simplify right side
    273,685.80x = 75,811,733,602.97
  5. Step 5: Solve for x
    x = 75,811,733,602.97/273,685.80
  6. Step 6: Final answer
    x = 277,002.80

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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.