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Finding the Fourth Proportional to 562,103.98, 843,166.95 and 206,935.18

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Solution

The fourth proportional to 562,103.98, 843,166.95 and 206,935.18 is: 310,406.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,103.98 : 843,166.95 = 206,935.18 : x
  2. Step 2: Convert to fraction form
    562,103.98/843,166.95 = 206,935.18/x
  3. Step 3: Cross multiply
    562,103.98x = 843,166.95 × 206,935.18
  4. Step 4: Simplify right side
    562,103.98x = 174,480,904,568.30
  5. Step 5: Solve for x
    x = 174,480,904,568.30/562,103.98
  6. Step 6: Final answer
    x = 310,406.81

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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.