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Finding the Fourth Proportional to 329,176, 454,262.88 and 178,273

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Solution

The fourth proportional to 329,176, 454,262.88 and 178,273 is: 246,016.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,176 : 454,262.88 = 178,273 : x
  2. Step 2: Convert to fraction form
    329,176/454,262.88 = 178,273/x
  3. Step 3: Cross multiply
    329,176x = 454,262.88 × 178,273
  4. Step 4: Simplify right side
    329,176x = 80,982,806,406.24
  5. Step 5: Solve for x
    x = 80,982,806,406.24/329,176
  6. Step 6: Final answer
    x = 246,016.74

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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.