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Finding the Fourth Proportional to 304,194.44, 456,058.38 and 185,921.48

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Solution

The fourth proportional to 304,194.44, 456,058.38 and 185,921.48 is: 278,739.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,194.44 : 456,058.38 = 185,921.48 : x
  2. Step 2: Convert to fraction form
    304,194.44/456,058.38 = 185,921.48/x
  3. Step 3: Cross multiply
    304,194.44x = 456,058.38 × 185,921.48
  4. Step 4: Simplify right side
    304,194.44x = 84,791,048,976.00
  5. Step 5: Solve for x
    x = 84,791,048,976.00/304,194.44
  6. Step 6: Final answer
    x = 278,739.64

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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.