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Finding the Fourth Proportional to 297,797.48, 410,962.20 and 161,832.56

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Solution

The fourth proportional to 297,797.48, 410,962.20 and 161,832.56 is: 223,329.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,797.48 : 410,962.20 = 161,832.56 : x
  2. Step 2: Convert to fraction form
    297,797.48/410,962.20 = 161,832.56/x
  3. Step 3: Cross multiply
    297,797.48x = 410,962.20 × 161,832.56
  4. Step 4: Simplify right side
    297,797.48x = 66,507,064,889.23
  5. Step 5: Solve for x
    x = 66,507,064,889.23/297,797.48
  6. Step 6: Final answer
    x = 223,329.84

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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.