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Finding the Fourth Proportional to 416,180.64, 574,327.44 and 225,197.40

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Solution

The fourth proportional to 416,180.64, 574,327.44 and 225,197.40 is: 310,771.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,180.64 : 574,327.44 = 225,197.40 : x
  2. Step 2: Convert to fraction form
    416,180.64/574,327.44 = 225,197.40/x
  3. Step 3: Cross multiply
    416,180.64x = 574,327.44 × 225,197.40
  4. Step 4: Simplify right side
    416,180.64x = 129,337,046,236.66
  5. Step 5: Solve for x
    x = 129,337,046,236.66/416,180.64
  6. Step 6: Final answer
    x = 310,771.41

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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.