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Finding the Fourth Proportional to 395,734.45, 546,115.47 and 214,446.34

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Solution

The fourth proportional to 395,734.45, 546,115.47 and 214,446.34 is: 295,936.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,734.45 : 546,115.47 = 214,446.34 : x
  2. Step 2: Convert to fraction form
    395,734.45/546,115.47 = 214,446.34/x
  3. Step 3: Cross multiply
    395,734.45x = 546,115.47 × 214,446.34
  4. Step 4: Simplify right side
    395,734.45x = 117,112,463,758.88
  5. Step 5: Solve for x
    x = 117,112,463,758.88/395,734.45
  6. Step 6: Final answer
    x = 295,936.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.