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Finding the Fourth Proportional to 361,629.66, 542,442.33 and 196,467.42

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Solution

The fourth proportional to 361,629.66, 542,442.33 and 196,467.42 is: 294,699.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,629.66 : 542,442.33 = 196,467.42 : x
  2. Step 2: Convert to fraction form
    361,629.66/542,442.33 = 196,467.42/x
  3. Step 3: Cross multiply
    361,629.66x = 542,442.33 × 196,467.42
  4. Step 4: Simplify right side
    361,629.66x = 106,572,245,073.89
  5. Step 5: Solve for x
    x = 106,572,245,073.89/361,629.66
  6. Step 6: Final answer
    x = 294,699.96

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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.