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Finding the Fourth Proportional to 298,329.87, 411,738.60 and 167,522.19

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Solution

The fourth proportional to 298,329.87, 411,738.60 and 167,522.19 is: 231,204.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,329.87 : 411,738.60 = 167,522.19 : x
  2. Step 2: Convert to fraction form
    298,329.87/411,738.60 = 167,522.19/x
  3. Step 3: Cross multiply
    298,329.87x = 411,738.60 × 167,522.19
  4. Step 4: Simplify right side
    298,329.87x = 68,975,351,979.53
  5. Step 5: Solve for x
    x = 68,975,351,979.53/298,329.87
  6. Step 6: Final answer
    x = 231,204.98

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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.