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Finding the Fourth Proportional to 329,604.41, 454,863.05 and 186,385.88

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Solution

The fourth proportional to 329,604.41, 454,863.05 and 186,385.88 is: 257,217.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,604.41 : 454,863.05 = 186,385.88 : x
  2. Step 2: Convert to fraction form
    329,604.41/454,863.05 = 186,385.88/x
  3. Step 3: Cross multiply
    329,604.41x = 454,863.05 × 186,385.88
  4. Step 4: Simplify right side
    329,604.41x = 84,780,046,647.49
  5. Step 5: Solve for x
    x = 84,780,046,647.49/329,604.41
  6. Step 6: Final answer
    x = 257,217.58

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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.