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Finding the Fourth Proportional to 514,052.34, 770,620.75 and 244,013.88

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Solution

The fourth proportional to 514,052.34, 770,620.75 and 244,013.88 is: 365,803.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,052.34 : 770,620.75 = 244,013.88 : x
  2. Step 2: Convert to fraction form
    514,052.34/770,620.75 = 244,013.88/x
  3. Step 3: Cross multiply
    514,052.34x = 770,620.75 × 244,013.88
  4. Step 4: Simplify right side
    514,052.34x = 188,042,159,216.01
  5. Step 5: Solve for x
    x = 188,042,159,216.01/514,052.34
  6. Step 6: Final answer
    x = 365,803.53

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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.