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Finding the Fourth Proportional to 293,745, 405,369.22 and 159,609

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Solution

The fourth proportional to 293,745, 405,369.22 and 159,609 is: 220,261.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,745 : 405,369.22 = 159,609 : x
  2. Step 2: Convert to fraction form
    293,745/405,369.22 = 159,609/x
  3. Step 3: Cross multiply
    293,745x = 405,369.22 × 159,609
  4. Step 4: Simplify right side
    293,745x = 64,700,575,834.98
  5. Step 5: Solve for x
    x = 64,700,575,834.98/293,745
  6. Step 6: Final answer
    x = 220,261.03

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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.