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Finding the Fourth Proportional to 329,674.98, 454,954.32 and 178,771.98

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Solution

The fourth proportional to 329,674.98, 454,954.32 and 178,771.98 is: 246,706.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,674.98 : 454,954.32 = 178,771.98 : x
  2. Step 2: Convert to fraction form
    329,674.98/454,954.32 = 178,771.98/x
  3. Step 3: Cross multiply
    329,674.98x = 454,954.32 × 178,771.98
  4. Step 4: Simplify right side
    329,674.98x = 81,333,084,595.95
  5. Step 5: Solve for x
    x = 81,333,084,595.95/329,674.98
  6. Step 6: Final answer
    x = 246,706.88

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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.