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Finding the Fourth Proportional to 414,969.80, 622,761.90 and 165,830.60

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Solution

The fourth proportional to 414,969.80, 622,761.90 and 165,830.60 is: 248,868.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,969.80 : 622,761.90 = 165,830.60 : x
  2. Step 2: Convert to fraction form
    414,969.80/622,761.90 = 165,830.60/x
  3. Step 3: Cross multiply
    414,969.80x = 622,761.90 × 165,830.60
  4. Step 4: Simplify right side
    414,969.80x = 103,272,979,534.14
  5. Step 5: Solve for x
    x = 103,272,979,534.14/414,969.80
  6. Step 6: Final answer
    x = 248,868.66

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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.