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Finding the Fourth Proportional to 297,743.34, 410,724 and 182,980.56

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Solution

The fourth proportional to 297,743.34, 410,724 and 182,980.56 is: 252,413.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,743.34 : 410,724 = 182,980.56 : x
  2. Step 2: Convert to fraction form
    297,743.34/410,724 = 182,980.56/x
  3. Step 3: Cross multiply
    297,743.34x = 410,724 × 182,980.56
  4. Step 4: Simplify right side
    297,743.34x = 75,154,507,525.44
  5. Step 5: Solve for x
    x = 75,154,507,525.44/297,743.34
  6. Step 6: Final answer
    x = 252,413.73

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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.