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Finding the Fourth Proportional to 307,947.60, 461,921.40 and 181,976.40

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Solution

The fourth proportional to 307,947.60, 461,921.40 and 181,976.40 is: 272,964.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,947.60 : 461,921.40 = 181,976.40 : x
  2. Step 2: Convert to fraction form
    307,947.60/461,921.40 = 181,976.40/x
  3. Step 3: Cross multiply
    307,947.60x = 461,921.40 × 181,976.40
  4. Step 4: Simplify right side
    307,947.60x = 84,058,793,454.96
  5. Step 5: Solve for x
    x = 84,058,793,454.96/307,947.60
  6. Step 6: Final answer
    x = 272,964.60

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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.