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Finding the Fourth Proportional to 329,016.44, 454,044.16 and 178,113.44

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Solution

The fourth proportional to 329,016.44, 454,044.16 and 178,113.44 is: 245,797.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,016.44 : 454,044.16 = 178,113.44 : x
  2. Step 2: Convert to fraction form
    329,016.44/454,044.16 = 178,113.44/x
  3. Step 3: Cross multiply
    329,016.44x = 454,044.16 × 178,113.44
  4. Step 4: Simplify right side
    329,016.44x = 80,871,367,249.51
  5. Step 5: Solve for x
    x = 80,871,367,249.51/329,016.44
  6. Step 6: Final answer
    x = 245,797.34

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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.