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Finding the Fourth Proportional to 416,684.96, 624,786.72 and 366,865.04

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Solution

The fourth proportional to 416,684.96, 624,786.72 and 366,865.04 is: 550,085.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,684.96 : 624,786.72 = 366,865.04 : x
  2. Step 2: Convert to fraction form
    416,684.96/624,786.72 = 366,865.04/x
  3. Step 3: Cross multiply
    416,684.96x = 624,786.72 × 366,865.04
  4. Step 4: Simplify right side
    416,684.96x = 229,212,405,024.27
  5. Step 5: Solve for x
    x = 229,212,405,024.27/416,684.96
  6. Step 6: Final answer
    x = 550,085.62

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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.