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Finding the Fourth Proportional to 304,309.08, 419,805.03 and 196,913.82

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Solution

The fourth proportional to 304,309.08, 419,805.03 and 196,913.82 is: 271,649.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,309.08 : 419,805.03 = 196,913.82 : x
  2. Step 2: Convert to fraction form
    304,309.08/419,805.03 = 196,913.82/x
  3. Step 3: Cross multiply
    304,309.08x = 419,805.03 × 196,913.82
  4. Step 4: Simplify right side
    304,309.08x = 82,665,412,112.51
  5. Step 5: Solve for x
    x = 82,665,412,112.51/304,309.08
  6. Step 6: Final answer
    x = 271,649.51

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1.5x scale

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.