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Finding the Fourth Proportional to 294,556.41, 441,801.51 and 81,354.63

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Solution

The fourth proportional to 294,556.41, 441,801.51 and 81,354.63 is: 122,022.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,556.41 : 441,801.51 = 81,354.63 : x
  2. Step 2: Convert to fraction form
    294,556.41/441,801.51 = 81,354.63/x
  3. Step 3: Cross multiply
    294,556.41x = 441,801.51 × 81,354.63
  4. Step 4: Simplify right side
    294,556.41x = 35,942,598,379.49
  5. Step 5: Solve for x
    x = 35,942,598,379.49/294,556.41
  6. Step 6: Final answer
    x = 122,022.80

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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.