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Finding the Fourth Proportional to 395,636.37, 545,977.44 and 214,352.81

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Solution

The fourth proportional to 395,636.37, 545,977.44 and 214,352.81 is: 295,806.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,636.37 : 545,977.44 = 214,352.81 : x
  2. Step 2: Convert to fraction form
    395,636.37/545,977.44 = 214,352.81/x
  3. Step 3: Cross multiply
    395,636.37x = 545,977.44 × 214,352.81
  4. Step 4: Simplify right side
    395,636.37x = 117,031,795,730.72
  5. Step 5: Solve for x
    x = 117,031,795,730.72/395,636.37
  6. Step 6: Final answer
    x = 295,806.46

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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.