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Finding the Fourth Proportional to 514,052.84, 770,621.50 and 244,014.38

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Solution

The fourth proportional to 514,052.84, 770,621.50 and 244,014.38 is: 365,804.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,052.84 : 770,621.50 = 244,014.38 : x
  2. Step 2: Convert to fraction form
    514,052.84/770,621.50 = 244,014.38/x
  3. Step 3: Cross multiply
    514,052.84x = 770,621.50 × 244,014.38
  4. Step 4: Simplify right side
    514,052.84x = 188,042,727,537.17
  5. Step 5: Solve for x
    x = 188,042,727,537.17/514,052.84
  6. Step 6: Final answer
    x = 365,804.28

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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.