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Finding the Fourth Proportional to 412,009.93, 618,244.53 and 222,466.29

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Solution

The fourth proportional to 412,009.93, 618,244.53 and 222,466.29 is: 333,823.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,009.93 : 618,244.53 = 222,466.29 : x
  2. Step 2: Convert to fraction form
    412,009.93/618,244.53 = 222,466.29/x
  3. Step 3: Cross multiply
    412,009.93x = 618,244.53 × 222,466.29
  4. Step 4: Simplify right side
    412,009.93x = 137,538,566,901.89
  5. Step 5: Solve for x
    x = 137,538,566,901.89/412,009.93
  6. Step 6: Final answer
    x = 333,823.43

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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.