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Finding the Fourth Proportional to 297,644.52, 410,756.85 and 161,678.43

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Solution

The fourth proportional to 297,644.52, 410,756.85 and 161,678.43 is: 223,120.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,644.52 : 410,756.85 = 161,678.43 : x
  2. Step 2: Convert to fraction form
    297,644.52/410,756.85 = 161,678.43/x
  3. Step 3: Cross multiply
    297,644.52x = 410,756.85 × 161,678.43
  4. Step 4: Simplify right side
    297,644.52x = 66,410,522,619.75
  5. Step 5: Solve for x
    x = 66,410,522,619.75/297,644.52
  6. Step 6: Final answer
    x = 223,120.26

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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.