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Finding the Fourth Proportional to 395,399.56, 545,650.44 and 214,111.48

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Solution

The fourth proportional to 395,399.56, 545,650.44 and 214,111.48 is: 295,473.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,399.56 : 545,650.44 = 214,111.48 : x
  2. Step 2: Convert to fraction form
    395,399.56/545,650.44 = 214,111.48/x
  3. Step 3: Cross multiply
    395,399.56x = 545,650.44 × 214,111.48
  4. Step 4: Simplify right side
    395,399.56x = 116,830,023,271.05
  5. Step 5: Solve for x
    x = 116,830,023,271.05/395,399.56
  6. Step 6: Final answer
    x = 295,473.33

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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.