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Finding the Fourth Proportional to 414,610.38, 622,047.06 and 148,365

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Solution

The fourth proportional to 414,610.38, 622,047.06 and 148,365 is: 222,594.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,610.38 : 622,047.06 = 148,365 : x
  2. Step 2: Convert to fraction form
    414,610.38/622,047.06 = 148,365/x
  3. Step 3: Cross multiply
    414,610.38x = 622,047.06 × 148,365
  4. Step 4: Simplify right side
    414,610.38x = 92,290,012,056.90
  5. Step 5: Solve for x
    x = 92,290,012,056.90/414,610.38
  6. Step 6: Final answer
    x = 222,594.55

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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.