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Finding the Fourth Proportional to 382,542.09, 527,906.66 and 212,776.22

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Solution

The fourth proportional to 382,542.09, 527,906.66 and 212,776.22 is: 293,630.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,542.09 : 527,906.66 = 212,776.22 : x
  2. Step 2: Convert to fraction form
    382,542.09/527,906.66 = 212,776.22/x
  3. Step 3: Cross multiply
    382,542.09x = 527,906.66 × 212,776.22
  4. Step 4: Simplify right side
    382,542.09x = 112,325,979,924.21
  5. Step 5: Solve for x
    x = 112,325,979,924.21/382,542.09
  6. Step 6: Final answer
    x = 293,630.38

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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.