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Finding the Fourth Proportional to 561,727.82, 842,552.84 and 206,675.66

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Solution

The fourth proportional to 561,727.82, 842,552.84 and 206,675.66 is: 309,999.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,727.82 : 842,552.84 = 206,675.66 : x
  2. Step 2: Convert to fraction form
    561,727.82/842,552.84 = 206,675.66/x
  3. Step 3: Cross multiply
    561,727.82x = 842,552.84 × 206,675.66
  4. Step 4: Simplify right side
    561,727.82x = 174,135,164,291.87
  5. Step 5: Solve for x
    x = 174,135,164,291.87/561,727.82
  6. Step 6: Final answer
    x = 309,999.18

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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.