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Finding the Fourth Proportional to 412,074.54, 618,289.38 and 222,497.28

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Solution

The fourth proportional to 412,074.54, 618,289.38 and 222,497.28 is: 333,841.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,074.54 : 618,289.38 = 222,497.28 : x
  2. Step 2: Convert to fraction form
    412,074.54/618,289.38 = 222,497.28/x
  3. Step 3: Cross multiply
    412,074.54x = 618,289.38 × 222,497.28
  4. Step 4: Simplify right side
    412,074.54x = 137,567,705,302.89
  5. Step 5: Solve for x
    x = 137,567,705,302.89/412,074.54
  6. Step 6: Final answer
    x = 333,841.80

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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.