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Finding the Fourth Proportional to 294,233.60, 440,896.80 and 219,000.80

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Solution

The fourth proportional to 294,233.60, 440,896.80 and 219,000.80 is: 328,163.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,233.60 : 440,896.80 = 219,000.80 : x
  2. Step 2: Convert to fraction form
    294,233.60/440,896.80 = 219,000.80/x
  3. Step 3: Cross multiply
    294,233.60x = 440,896.80 × 219,000.80
  4. Step 4: Simplify right side
    294,233.60x = 96,556,751,917.44
  5. Step 5: Solve for x
    x = 96,556,751,917.44/294,233.60
  6. Step 6: Final answer
    x = 328,163.58

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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.