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Finding the Fourth Proportional to 509,100.46, 702,517.53 and 294,254.44

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Solution

The fourth proportional to 509,100.46, 702,517.53 and 294,254.44 is: 406,047.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,100.46 : 702,517.53 = 294,254.44 : x
  2. Step 2: Convert to fraction form
    509,100.46/702,517.53 = 294,254.44/x
  3. Step 3: Cross multiply
    509,100.46x = 702,517.53 × 294,254.44
  4. Step 4: Simplify right side
    509,100.46x = 206,718,902,380.33
  5. Step 5: Solve for x
    x = 206,718,902,380.33/509,100.46
  6. Step 6: Final answer
    x = 406,047.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.