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Finding the Fourth Proportional to 366,933.27, 506,401.90 and 214,020.96

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Solution

The fourth proportional to 366,933.27, 506,401.90 and 214,020.96 is: 295,368.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,933.27 : 506,401.90 = 214,020.96 : x
  2. Step 2: Convert to fraction form
    366,933.27/506,401.90 = 214,020.96/x
  3. Step 3: Cross multiply
    366,933.27x = 506,401.90 × 214,020.96
  4. Step 4: Simplify right side
    366,933.27x = 108,380,620,375.95
  5. Step 5: Solve for x
    x = 108,380,620,375.95/366,933.27
  6. Step 6: Final answer
    x = 295,368.75

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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.