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Finding the Fourth Proportional to 467,446.26, 700,615.78 and 214,513.56

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Solution

The fourth proportional to 467,446.26, 700,615.78 and 214,513.56 is: 321,516.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,446.26 : 700,615.78 = 214,513.56 : x
  2. Step 2: Convert to fraction form
    467,446.26/700,615.78 = 214,513.56/x
  3. Step 3: Cross multiply
    467,446.26x = 700,615.78 × 214,513.56
  4. Step 4: Simplify right side
    467,446.26x = 150,291,585,159.98
  5. Step 5: Solve for x
    x = 150,291,585,159.98/467,446.26
  6. Step 6: Final answer
    x = 321,516.29

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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.