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Finding the Fourth Proportional to 395,906.40, 593,236.58 and 306,168.93

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Solution

The fourth proportional to 395,906.40, 593,236.58 and 306,168.93 is: 458,771.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,906.40 : 593,236.58 = 306,168.93 : x
  2. Step 2: Convert to fraction form
    395,906.40/593,236.58 = 306,168.93/x
  3. Step 3: Cross multiply
    395,906.40x = 593,236.58 × 306,168.93
  4. Step 4: Simplify right side
    395,906.40x = 181,630,607,404.62
  5. Step 5: Solve for x
    x = 181,630,607,404.62/395,906.40
  6. Step 6: Final answer
    x = 458,771.59

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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.