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Finding the Fourth Proportional to 229,310.70, 343,674.45 and 204,233.10

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Solution

The fourth proportional to 229,310.70, 343,674.45 and 204,233.10 is: 306,089.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,310.70 : 343,674.45 = 204,233.10 : x
  2. Step 2: Convert to fraction form
    229,310.70/343,674.45 = 204,233.10/x
  3. Step 3: Cross multiply
    229,310.70x = 343,674.45 × 204,233.10
  4. Step 4: Simplify right side
    229,310.70x = 70,189,698,314.30
  5. Step 5: Solve for x
    x = 70,189,698,314.30/229,310.70
  6. Step 6: Final answer
    x = 306,089.94

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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.