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Finding the Fourth Proportional to 294,078.80, 440,243.40 and 194,351.60

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Solution

The fourth proportional to 294,078.80, 440,243.40 and 194,351.60 is: 290,949.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,078.80 : 440,243.40 = 194,351.60 : x
  2. Step 2: Convert to fraction form
    294,078.80/440,243.40 = 194,351.60/x
  3. Step 3: Cross multiply
    294,078.80x = 440,243.40 × 194,351.60
  4. Step 4: Simplify right side
    294,078.80x = 85,562,009,179.44
  5. Step 5: Solve for x
    x = 85,562,009,179.44/294,078.80
  6. Step 6: Final answer
    x = 290,949.26

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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.