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Finding the Fourth Proportional to 382,657.96, 528,067.98 and 212,892.04

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Solution

The fourth proportional to 382,657.96, 528,067.98 and 212,892.04 is: 293,791.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,657.96 : 528,067.98 = 212,892.04 : x
  2. Step 2: Convert to fraction form
    382,657.96/528,067.98 = 212,892.04/x
  3. Step 3: Cross multiply
    382,657.96x = 528,067.98 × 212,892.04
  4. Step 4: Simplify right side
    382,657.96x = 112,421,469,520.88
  5. Step 5: Solve for x
    x = 112,421,469,520.88/382,657.96
  6. Step 6: Final answer
    x = 293,791.01

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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.