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Finding the Fourth Proportional to 294,194.45, 441,291.66 and 205,620.95

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Solution

The fourth proportional to 294,194.45, 441,291.66 and 205,620.95 is: 308,431.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,194.45 : 441,291.66 = 205,620.95 : x
  2. Step 2: Convert to fraction form
    294,194.45/441,291.66 = 205,620.95/x
  3. Step 3: Cross multiply
    294,194.45x = 441,291.66 × 205,620.95
  4. Step 4: Simplify right side
    294,194.45x = 90,738,808,149.82
  5. Step 5: Solve for x
    x = 90,738,808,149.82/294,194.45
  6. Step 6: Final answer
    x = 308,431.41

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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.