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Finding the Fourth Proportional to 395,478.35, 545,757.39 and 214,186.13

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Solution

The fourth proportional to 395,478.35, 545,757.39 and 214,186.13 is: 295,575.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,478.35 : 545,757.39 = 214,186.13 : x
  2. Step 2: Convert to fraction form
    395,478.35/545,757.39 = 214,186.13/x
  3. Step 3: Cross multiply
    395,478.35x = 545,757.39 × 214,186.13
  4. Step 4: Simplify right side
    395,478.35x = 116,893,660,554.21
  5. Step 5: Solve for x
    x = 116,893,660,554.21/395,478.35
  6. Step 6: Final answer
    x = 295,575.38

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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.