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Finding the Fourth Proportional to 562,104.98, 843,168.45 and 206,936.18

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Solution

The fourth proportional to 562,104.98, 843,168.45 and 206,936.18 is: 310,408.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,104.98 : 843,168.45 = 206,936.18 : x
  2. Step 2: Convert to fraction form
    562,104.98/843,168.45 = 206,936.18/x
  3. Step 3: Cross multiply
    562,104.98x = 843,168.45 × 206,936.18
  4. Step 4: Simplify right side
    562,104.98x = 174,482,058,139.52
  5. Step 5: Solve for x
    x = 174,482,058,139.52/562,104.98
  6. Step 6: Final answer
    x = 310,408.31

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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.