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Finding the Fourth Proportional to 395,684.70, 546,044.03 and 214,401.54

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Solution

The fourth proportional to 395,684.70, 546,044.03 and 214,401.54 is: 295,873.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,684.70 : 546,044.03 = 214,401.54 : x
  2. Step 2: Convert to fraction form
    395,684.70/546,044.03 = 214,401.54/x
  3. Step 3: Cross multiply
    395,684.70x = 546,044.03 × 214,401.54
  4. Step 4: Simplify right side
    395,684.70x = 117,072,679,867.80
  5. Step 5: Solve for x
    x = 117,072,679,867.80/395,684.70
  6. Step 6: Final answer
    x = 295,873.66

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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.