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Finding the Fourth Proportional to 395,634.86, 545,975.38 and 214,351.30

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Solution

The fourth proportional to 395,634.86, 545,975.38 and 214,351.30 is: 295,804.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,634.86 : 545,975.38 = 214,351.30 : x
  2. Step 2: Convert to fraction form
    395,634.86/545,975.38 = 214,351.30/x
  3. Step 3: Cross multiply
    395,634.86x = 545,975.38 × 214,351.30
  4. Step 4: Simplify right side
    395,634.86x = 117,030,530,570.18
  5. Step 5: Solve for x
    x = 117,030,530,570.18/395,634.86
  6. Step 6: Final answer
    x = 295,804.39

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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.