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Finding the Fourth Proportional to 405,919.74, 608,867 and 192,841

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Solution

The fourth proportional to 405,919.74, 608,867 and 192,841 is: 289,255.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,919.74 : 608,867 = 192,841 : x
  2. Step 2: Convert to fraction form
    405,919.74/608,867 = 192,841/x
  3. Step 3: Cross multiply
    405,919.74x = 608,867 × 192,841
  4. Step 4: Simplify right side
    405,919.74x = 117,414,521,147
  5. Step 5: Solve for x
    x = 117,414,521,147/405,919.74
  6. Step 6: Final answer
    x = 289,255.51

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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.