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Finding the Fourth Proportional to 513,566.76, 769,932.76 and 214,270.32

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Solution

The fourth proportional to 513,566.76, 769,932.76 and 214,270.32 is: 321,231.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,566.76 : 769,932.76 = 214,270.32 : x
  2. Step 2: Convert to fraction form
    513,566.76/769,932.76 = 214,270.32/x
  3. Step 3: Cross multiply
    513,566.76x = 769,932.76 × 214,270.32
  4. Step 4: Simplify right side
    513,566.76x = 164,973,738,863.68
  5. Step 5: Solve for x
    x = 164,973,738,863.68/513,566.76
  6. Step 6: Final answer
    x = 321,231.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.