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Finding the Fourth Proportional to 320,797.38, 442,811.06 and 184,885.62

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Solution

The fourth proportional to 320,797.38, 442,811.06 and 184,885.62 is: 255,205.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,797.38 : 442,811.06 = 184,885.62 : x
  2. Step 2: Convert to fraction form
    320,797.38/442,811.06 = 184,885.62/x
  3. Step 3: Cross multiply
    320,797.38x = 442,811.06 × 184,885.62
  4. Step 4: Simplify right side
    320,797.38x = 81,869,396,446.53
  5. Step 5: Solve for x
    x = 81,869,396,446.53/320,797.38
  6. Step 6: Final answer
    x = 255,205.94

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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.