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Finding the Fourth Proportional to 395,634.62, 545,975.03 and 214,351.05

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Solution

The fourth proportional to 395,634.62, 545,975.03 and 214,351.05 is: 295,804.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,634.62 : 545,975.03 = 214,351.05 : x
  2. Step 2: Convert to fraction form
    395,634.62/545,975.03 = 214,351.05/x
  3. Step 3: Cross multiply
    395,634.62x = 545,975.03 × 214,351.05
  4. Step 4: Simplify right side
    395,634.62x = 117,030,320,954.28
  5. Step 5: Solve for x
    x = 117,030,320,954.28/395,634.62
  6. Step 6: Final answer
    x = 295,804.05

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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.