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Finding the Fourth Proportional to 395,349.21, 545,582.97 and 214,063.38

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Solution

The fourth proportional to 395,349.21, 545,582.97 and 214,063.38 is: 295,408.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,349.21 : 545,582.97 = 214,063.38 : x
  2. Step 2: Convert to fraction form
    395,349.21/545,582.97 = 214,063.38/x
  3. Step 3: Cross multiply
    395,349.21x = 545,582.97 × 214,063.38
  4. Step 4: Simplify right side
    395,349.21x = 116,789,334,628.64
  5. Step 5: Solve for x
    x = 116,789,334,628.64/395,349.21
  6. Step 6: Final answer
    x = 295,408.04

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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.