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Finding the Fourth Proportional to 442,597.56, 662,775.22 and 274,446.31

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Solution

The fourth proportional to 442,597.56, 662,775.22 and 274,446.31 is: 410,974.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,597.56 : 662,775.22 = 274,446.31 : x
  2. Step 2: Convert to fraction form
    442,597.56/662,775.22 = 274,446.31/x
  3. Step 3: Cross multiply
    442,597.56x = 662,775.22 × 274,446.31
  4. Step 4: Simplify right side
    442,597.56x = 181,896,213,488.44
  5. Step 5: Solve for x
    x = 181,896,213,488.44/442,597.56
  6. Step 6: Final answer
    x = 410,974.28

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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.