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Finding the Fourth Proportional to 685,624.46, 946,164.38 and 379,694.12

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Solution

The fourth proportional to 685,624.46, 946,164.38 and 379,694.12 is: 523,979.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,624.46 : 946,164.38 = 379,694.12 : x
  2. Step 2: Convert to fraction form
    685,624.46/946,164.38 = 379,694.12/x
  3. Step 3: Cross multiply
    685,624.46x = 946,164.38 × 379,694.12
  4. Step 4: Simplify right side
    685,624.46x = 359,253,045,010.15
  5. Step 5: Solve for x
    x = 359,253,045,010.15/685,624.46
  6. Step 6: Final answer
    x = 523,979.33

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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.