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Finding the Fourth Proportional to 395,381.94, 545,626.30 and 214,093.30

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Solution

The fourth proportional to 395,381.94, 545,626.30 and 214,093.30 is: 295,448.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,381.94 : 545,626.30 = 214,093.30 : x
  2. Step 2: Convert to fraction form
    395,381.94/545,626.30 = 214,093.30/x
  3. Step 3: Cross multiply
    395,381.94x = 545,626.30 × 214,093.30
  4. Step 4: Simplify right side
    395,381.94x = 116,814,935,133.79
  5. Step 5: Solve for x
    x = 116,814,935,133.79/395,381.94
  6. Step 6: Final answer
    x = 295,448.33

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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.