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Finding the Fourth Proportional to 334,630.75, 461,619.38 and 213,644.92

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Solution

The fourth proportional to 334,630.75, 461,619.38 and 213,644.92 is: 294,720.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,630.75 : 461,619.38 = 213,644.92 : x
  2. Step 2: Convert to fraction form
    334,630.75/461,619.38 = 213,644.92/x
  3. Step 3: Cross multiply
    334,630.75x = 461,619.38 × 213,644.92
  4. Step 4: Simplify right side
    334,630.75x = 98,622,632,134.23
  5. Step 5: Solve for x
    x = 98,622,632,134.23/334,630.75
  6. Step 6: Final answer
    x = 294,720.77

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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.