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Finding the Fourth Proportional to 329,302, 454,441.62 and 178,399

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Solution

The fourth proportional to 329,302, 454,441.62 and 178,399 is: 246,193.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,302 : 454,441.62 = 178,399 : x
  2. Step 2: Convert to fraction form
    329,302/454,441.62 = 178,399/x
  3. Step 3: Cross multiply
    329,302x = 454,441.62 × 178,399
  4. Step 4: Simplify right side
    329,302x = 81,071,930,566.38
  5. Step 5: Solve for x
    x = 81,071,930,566.38/329,302
  6. Step 6: Final answer
    x = 246,193.25

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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.