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Finding the Fourth Proportional to 329,305.24, 454,438.38 and 178,401.88

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Solution

The fourth proportional to 329,305.24, 454,438.38 and 178,401.88 is: 246,193.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,305.24 : 454,438.38 = 178,401.88 : x
  2. Step 2: Convert to fraction form
    329,305.24/454,438.38 = 178,401.88/x
  3. Step 3: Cross multiply
    329,305.24x = 454,438.38 × 178,401.88
  4. Step 4: Simplify right side
    329,305.24x = 81,072,661,336.15
  5. Step 5: Solve for x
    x = 81,072,661,336.15/329,305.24
  6. Step 6: Final answer
    x = 246,193.05

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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.