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Finding the Fourth Proportional to 397,137.92, 591,502.72 and 395,202.43

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Solution

The fourth proportional to 397,137.92, 591,502.72 and 395,202.43 is: 588,619.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,137.92 : 591,502.72 = 395,202.43 : x
  2. Step 2: Convert to fraction form
    397,137.92/591,502.72 = 395,202.43/x
  3. Step 3: Cross multiply
    397,137.92x = 591,502.72 × 395,202.43
  4. Step 4: Simplify right side
    397,137.92x = 233,763,307,793.52
  5. Step 5: Solve for x
    x = 233,763,307,793.52/397,137.92
  6. Step 6: Final answer
    x = 588,619.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.