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Finding the Fourth Proportional to 643,589.49, 965,540.31 and 194,283.51

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Solution

The fourth proportional to 643,589.49, 965,540.31 and 194,283.51 is: 291,472.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,589.49 : 965,540.31 = 194,283.51 : x
  2. Step 2: Convert to fraction form
    643,589.49/965,540.31 = 194,283.51/x
  3. Step 3: Cross multiply
    643,589.49x = 965,540.31 × 194,283.51
  4. Step 4: Simplify right side
    643,589.49x = 187,588,560,473.29
  5. Step 5: Solve for x
    x = 187,588,560,473.29/643,589.49
  6. Step 6: Final answer
    x = 291,472.38

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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.