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Finding the Fourth Proportional to 393,083.44, 589,624.80 and 123,213.52

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Solution

The fourth proportional to 393,083.44, 589,624.80 and 123,213.52 is: 184,820.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,083.44 : 589,624.80 = 123,213.52 : x
  2. Step 2: Convert to fraction form
    393,083.44/589,624.80 = 123,213.52/x
  3. Step 3: Cross multiply
    393,083.44x = 589,624.80 × 123,213.52
  4. Step 4: Simplify right side
    393,083.44x = 72,649,747,087.30
  5. Step 5: Solve for x
    x = 72,649,747,087.30/393,083.44
  6. Step 6: Final answer
    x = 184,820.17

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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.