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Finding the Fourth Proportional to 320,992.64, 443,112.90 and 212,162.54

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Solution

The fourth proportional to 320,992.64, 443,112.90 and 212,162.54 is: 292,878.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,992.64 : 443,112.90 = 212,162.54 : x
  2. Step 2: Convert to fraction form
    320,992.64/443,112.90 = 212,162.54/x
  3. Step 3: Cross multiply
    320,992.64x = 443,112.90 × 212,162.54
  4. Step 4: Simplify right side
    320,992.64x = 94,011,958,370.77
  5. Step 5: Solve for x
    x = 94,011,958,370.77/320,992.64
  6. Step 6: Final answer
    x = 292,878.86

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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.