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Finding the Fourth Proportional to 414,772.80, 622,159.20 and 165,633.60

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Solution

The fourth proportional to 414,772.80, 622,159.20 and 165,633.60 is: 248,450.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,772.80 : 622,159.20 = 165,633.60 : x
  2. Step 2: Convert to fraction form
    414,772.80/622,159.20 = 165,633.60/x
  3. Step 3: Cross multiply
    414,772.80x = 622,159.20 × 165,633.60
  4. Step 4: Simplify right side
    414,772.80x = 103,050,468,069.12
  5. Step 5: Solve for x
    x = 103,050,468,069.12/414,772.80
  6. Step 6: Final answer
    x = 248,450.40

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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.