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Finding the Fourth Proportional to 414,804.23, 622,335.53 and 148,567.06

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Solution

The fourth proportional to 414,804.23, 622,335.53 and 148,567.06 is: 222,896.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,804.23 : 622,335.53 = 148,567.06 : x
  2. Step 2: Convert to fraction form
    414,804.23/622,335.53 = 148,567.06/x
  3. Step 3: Cross multiply
    414,804.23x = 622,335.53 × 148,567.06
  4. Step 4: Simplify right side
    414,804.23x = 92,458,560,025.64
  5. Step 5: Solve for x
    x = 92,458,560,025.64/414,804.23
  6. Step 6: Final answer
    x = 222,896.86

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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.