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Finding the Fourth Proportional to 304,125.89, 419,496.00 and 195,057.47

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Solution

The fourth proportional to 304,125.89, 419,496.00 and 195,057.47 is: 269,052.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,125.89 : 419,496.00 = 195,057.47 : x
  2. Step 2: Convert to fraction form
    304,125.89/419,496.00 = 195,057.47/x
  3. Step 3: Cross multiply
    304,125.89x = 419,496.00 × 195,057.47
  4. Step 4: Simplify right side
    304,125.89x = 81,825,827,215.63
  5. Step 5: Solve for x
    x = 81,825,827,215.63/304,125.89
  6. Step 6: Final answer
    x = 269,052.49

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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.