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Finding the Fourth Proportional to 643,356.80, 965,042.11 and 194,081.56

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Solution

The fourth proportional to 643,356.80, 965,042.11 and 194,081.56 is: 291,124.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,356.80 : 965,042.11 = 194,081.56 : x
  2. Step 2: Convert to fraction form
    643,356.80/965,042.11 = 194,081.56/x
  3. Step 3: Cross multiply
    643,356.80x = 965,042.11 × 194,081.56
  4. Step 4: Simplify right side
    643,356.80x = 187,296,874,920.34
  5. Step 5: Solve for x
    x = 187,296,874,920.34/643,356.80
  6. Step 6: Final answer
    x = 291,124.42

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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.