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Finding the Fourth Proportional to 395,679.94, 546,035.11 and 214,391.31

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Solution

The fourth proportional to 395,679.94, 546,035.11 and 214,391.31 is: 295,858.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,679.94 : 546,035.11 = 214,391.31 : x
  2. Step 2: Convert to fraction form
    395,679.94/546,035.11 = 214,391.31/x
  3. Step 3: Cross multiply
    395,679.94x = 546,035.11 × 214,391.31
  4. Step 4: Simplify right side
    395,679.94x = 117,065,179,955.28
  5. Step 5: Solve for x
    x = 117,065,179,955.28/395,679.94
  6. Step 6: Final answer
    x = 295,858.27

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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.