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Finding the Fourth Proportional to 304,964.68, 420,873.44 and 184,135.36

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Solution

The fourth proportional to 304,964.68, 420,873.44 and 184,135.36 is: 254,120.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,964.68 : 420,873.44 = 184,135.36 : x
  2. Step 2: Convert to fraction form
    304,964.68/420,873.44 = 184,135.36/x
  3. Step 3: Cross multiply
    304,964.68x = 420,873.44 × 184,135.36
  4. Step 4: Simplify right side
    304,964.68x = 77,497,682,388.84
  5. Step 5: Solve for x
    x = 77,497,682,388.84/304,964.68
  6. Step 6: Final answer
    x = 254,120.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.