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Finding the Fourth Proportional to 414,907.40, 622,393.82 and 204,430.60

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Solution

The fourth proportional to 414,907.40, 622,393.82 and 204,430.60 is: 306,662.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,907.40 : 622,393.82 = 204,430.60 : x
  2. Step 2: Convert to fraction form
    414,907.40/622,393.82 = 204,430.60/x
  3. Step 3: Cross multiply
    414,907.40x = 622,393.82 × 204,430.60
  4. Step 4: Simplify right side
    414,907.40x = 127,236,342,058.89
  5. Step 5: Solve for x
    x = 127,236,342,058.89/414,907.40
  6. Step 6: Final answer
    x = 306,662.02

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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.