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Finding the Fourth Proportional to 414,725.64, 622,066.59 and 204,292.50

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Solution

The fourth proportional to 414,725.64, 622,066.59 and 204,292.50 is: 306,427.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,725.64 : 622,066.59 = 204,292.50 : x
  2. Step 2: Convert to fraction form
    414,725.64/622,066.59 = 204,292.50/x
  3. Step 3: Cross multiply
    414,725.64x = 622,066.59 × 204,292.50
  4. Step 4: Simplify right side
    414,725.64x = 127,083,538,837.58
  5. Step 5: Solve for x
    x = 127,083,538,837.58/414,725.64
  6. Step 6: Final answer
    x = 306,427.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.