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Finding the Fourth Proportional to 329,615.40, 494,423.10 and 189,647.40

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Solution

The fourth proportional to 329,615.40, 494,423.10 and 189,647.40 is: 284,471.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,615.40 : 494,423.10 = 189,647.40 : x
  2. Step 2: Convert to fraction form
    329,615.40/494,423.10 = 189,647.40/x
  3. Step 3: Cross multiply
    329,615.40x = 494,423.10 × 189,647.40
  4. Step 4: Simplify right side
    329,615.40x = 93,766,055,414.94
  5. Step 5: Solve for x
    x = 93,766,055,414.94/329,615.40
  6. Step 6: Final answer
    x = 284,471.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.