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Finding the Fourth Proportional to 304,261.85, 419,499.64 and 195,173.85

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Solution

The fourth proportional to 304,261.85, 419,499.64 and 195,173.85 is: 269,095.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,261.85 : 419,499.64 = 195,173.85 : x
  2. Step 2: Convert to fraction form
    304,261.85/419,499.64 = 195,173.85/x
  3. Step 3: Cross multiply
    304,261.85x = 419,499.64 × 195,173.85
  4. Step 4: Simplify right side
    304,261.85x = 81,875,361,629.51
  5. Step 5: Solve for x
    x = 81,875,361,629.51/304,261.85
  6. Step 6: Final answer
    x = 269,095.06

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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.