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Finding the Fourth Proportional to 329,177, 454,264.26 and 178,274

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Solution

The fourth proportional to 329,177, 454,264.26 and 178,274 is: 246,018.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,177 : 454,264.26 = 178,274 : x
  2. Step 2: Convert to fraction form
    329,177/454,264.26 = 178,274/x
  3. Step 3: Cross multiply
    329,177x = 454,264.26 × 178,274
  4. Step 4: Simplify right side
    329,177x = 80,983,506,687.24
  5. Step 5: Solve for x
    x = 80,983,506,687.24/329,177
  6. Step 6: Final answer
    x = 246,018.12

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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.