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Finding the Fourth Proportional to 293,744, 405,367.84 and 159,608

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Solution

The fourth proportional to 293,744, 405,367.84 and 159,608 is: 220,259.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,744 : 405,367.84 = 159,608 : x
  2. Step 2: Convert to fraction form
    293,744/405,367.84 = 159,608/x
  3. Step 3: Cross multiply
    293,744x = 405,367.84 × 159,608
  4. Step 4: Simplify right side
    293,744x = 64,699,950,206.72
  5. Step 5: Solve for x
    x = 64,699,950,206.72/293,744
  6. Step 6: Final answer
    x = 220,259.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.