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Finding the Fourth Proportional to 514,014.34, 770,605.83 and 214,724.14

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Solution

The fourth proportional to 514,014.34, 770,605.83 and 214,724.14 is: 321,912.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,014.34 : 770,605.83 = 214,724.14 : x
  2. Step 2: Convert to fraction form
    514,014.34/770,605.83 = 214,724.14/x
  3. Step 3: Cross multiply
    514,014.34x = 770,605.83 × 214,724.14
  4. Step 4: Simplify right side
    514,014.34x = 165,467,674,125.74
  5. Step 5: Solve for x
    x = 165,467,674,125.74/514,014.34
  6. Step 6: Final answer
    x = 321,912.56

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Why These Related Problems?

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