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Finding the Fourth Proportional to 298,949.40, 412,121.52 and 235,176.48

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Solution

The fourth proportional to 298,949.40, 412,121.52 and 235,176.48 is: 324,206.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,949.40 : 412,121.52 = 235,176.48 : x
  2. Step 2: Convert to fraction form
    298,949.40/412,121.52 = 235,176.48/x
  3. Step 3: Cross multiply
    298,949.40x = 412,121.52 × 235,176.48
  4. Step 4: Simplify right side
    298,949.40x = 96,921,288,405.85
  5. Step 5: Solve for x
    x = 96,921,288,405.85/298,949.40
  6. Step 6: Final answer
    x = 324,206.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.