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Finding the Fourth Proportional to 329,713.80, 494,570.70 and 326,214.60

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Solution

The fourth proportional to 329,713.80, 494,570.70 and 326,214.60 is: 489,321.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,713.80 : 494,570.70 = 326,214.60 : x
  2. Step 2: Convert to fraction form
    329,713.80/494,570.70 = 326,214.60/x
  3. Step 3: Cross multiply
    329,713.80x = 494,570.70 × 326,214.60
  4. Step 4: Simplify right side
    329,713.80x = 161,336,183,072.22
  5. Step 5: Solve for x
    x = 161,336,183,072.22/329,713.80
  6. Step 6: Final answer
    x = 489,321.90

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Why These Related Problems?

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