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Finding the Fourth Proportional to 395,097.75, 545,234.85 and 213,809.67

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Solution

The fourth proportional to 395,097.75, 545,234.85 and 213,809.67 is: 295,057.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,097.75 : 545,234.85 = 213,809.67 : x
  2. Step 2: Convert to fraction form
    395,097.75/545,234.85 = 213,809.67/x
  3. Step 3: Cross multiply
    395,097.75x = 545,234.85 × 213,809.67
  4. Step 4: Simplify right side
    395,097.75x = 116,576,483,351.00
  5. Step 5: Solve for x
    x = 116,576,483,351.00/395,097.75
  6. Step 6: Final answer
    x = 295,057.32

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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.