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Finding the Fourth Proportional to 329,021.41, 454,049.70 and 178,118.41

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Solution

The fourth proportional to 329,021.41, 454,049.70 and 178,118.41 is: 245,803.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,021.41 : 454,049.70 = 178,118.41 : x
  2. Step 2: Convert to fraction form
    329,021.41/454,049.70 = 178,118.41/x
  3. Step 3: Cross multiply
    329,021.41x = 454,049.70 × 178,118.41
  4. Step 4: Simplify right side
    329,021.41x = 80,874,610,624.98
  5. Step 5: Solve for x
    x = 80,874,610,624.98/329,021.41
  6. Step 6: Final answer
    x = 245,803.49

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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.