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Finding the Fourth Proportional to 304,288.43, 419,816.04 and 175,224.12

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Solution

The fourth proportional to 304,288.43, 419,816.04 and 175,224.12 is: 241,750.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,288.43 : 419,816.04 = 175,224.12 : x
  2. Step 2: Convert to fraction form
    304,288.43/419,816.04 = 175,224.12/x
  3. Step 3: Cross multiply
    304,288.43x = 419,816.04 × 175,224.12
  4. Step 4: Simplify right side
    304,288.43x = 73,561,896,170.88
  5. Step 5: Solve for x
    x = 73,561,896,170.88/304,288.43
  6. Step 6: Final answer
    x = 241,750.56

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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.