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Finding the Fourth Proportional to 400,346.44, 600,493.74 and 151,021.96

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Solution

The fourth proportional to 400,346.44, 600,493.74 and 151,021.96 is: 226,523.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,346.44 : 600,493.74 = 151,021.96 : x
  2. Step 2: Convert to fraction form
    400,346.44/600,493.74 = 151,021.96/x
  3. Step 3: Cross multiply
    400,346.44x = 600,493.74 × 151,021.96
  4. Step 4: Simplify right side
    400,346.44x = 90,687,741,582.53
  5. Step 5: Solve for x
    x = 90,687,741,582.53/400,346.44
  6. Step 6: Final answer
    x = 226,523.16

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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.