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Finding the Fourth Proportional to 395,874, 594,129.60 and 225,200.52

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Solution

The fourth proportional to 395,874, 594,129.60 and 225,200.52 is: 337,982.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,874 : 594,129.60 = 225,200.52 : x
  2. Step 2: Convert to fraction form
    395,874/594,129.60 = 225,200.52/x
  3. Step 3: Cross multiply
    395,874x = 594,129.60 × 225,200.52
  4. Step 4: Simplify right side
    395,874x = 133,798,294,867.39
  5. Step 5: Solve for x
    x = 133,798,294,867.39/395,874
  6. Step 6: Final answer
    x = 337,982.02

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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.