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Finding the Fourth Proportional to 393,102.01, 589,791.35 and 193,562.56

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Solution

The fourth proportional to 393,102.01, 589,791.35 and 193,562.56 is: 290,411.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,102.01 : 589,791.35 = 193,562.56 : x
  2. Step 2: Convert to fraction form
    393,102.01/589,791.35 = 193,562.56/x
  3. Step 3: Cross multiply
    393,102.01x = 589,791.35 × 193,562.56
  4. Step 4: Simplify right side
    393,102.01x = 114,161,523,571.86
  5. Step 5: Solve for x
    x = 114,161,523,571.86/393,102.01
  6. Step 6: Final answer
    x = 290,411.96

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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.