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Finding the Fourth Proportional to 414,734.80, 622,101.94 and 237,117.26

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Solution

The fourth proportional to 414,734.80, 622,101.94 and 237,117.26 is: 355,675.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,734.80 : 622,101.94 = 237,117.26 : x
  2. Step 2: Convert to fraction form
    414,734.80/622,101.94 = 237,117.26/x
  3. Step 3: Cross multiply
    414,734.80x = 622,101.94 × 237,117.26
  4. Step 4: Simplify right side
    414,734.80x = 147,511,104,916.62
  5. Step 5: Solve for x
    x = 147,511,104,916.62/414,734.80
  6. Step 6: Final answer
    x = 355,675.74

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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.