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Finding the Fourth Proportional to 299,362.46, 448,722.32 and 149,306.31

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Solution

The fourth proportional to 299,362.46, 448,722.32 and 149,306.31 is: 223,799.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,362.46 : 448,722.32 = 149,306.31 : x
  2. Step 2: Convert to fraction form
    299,362.46/448,722.32 = 149,306.31/x
  3. Step 3: Cross multiply
    299,362.46x = 448,722.32 × 149,306.31
  4. Step 4: Simplify right side
    299,362.46x = 66,997,073,067.31
  5. Step 5: Solve for x
    x = 66,997,073,067.31/299,362.46
  6. Step 6: Final answer
    x = 223,799.18

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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.