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Finding the Fourth Proportional to 414,045.40, 620,625.16 and 214,164.56

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Solution

The fourth proportional to 414,045.40, 620,625.16 and 214,164.56 is: 321,017.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,045.40 : 620,625.16 = 214,164.56 : x
  2. Step 2: Convert to fraction form
    414,045.40/620,625.16 = 214,164.56/x
  3. Step 3: Cross multiply
    414,045.40x = 620,625.16 × 214,164.56
  4. Step 4: Simplify right side
    414,045.40x = 132,915,914,316.33
  5. Step 5: Solve for x
    x = 132,915,914,316.33/414,045.40
  6. Step 6: Final answer
    x = 321,017.73

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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.