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Finding the Fourth Proportional to 366,680, 550,020.44 and 100,442.81

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Solution

The fourth proportional to 366,680, 550,020.44 and 100,442.81 is: 150,664.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,680 : 550,020.44 = 100,442.81 : x
  2. Step 2: Convert to fraction form
    366,680/550,020.44 = 100,442.81/x
  3. Step 3: Cross multiply
    366,680x = 550,020.44 × 100,442.81
  4. Step 4: Simplify right side
    366,680x = 55,245,598,048.82
  5. Step 5: Solve for x
    x = 55,245,598,048.82/366,680
  6. Step 6: Final answer
    x = 150,664.33

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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.