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Finding the Fourth Proportional to 416,660.80, 574,989.22 and 235,431.40

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Solution

The fourth proportional to 416,660.80, 574,989.22 and 235,431.40 is: 324,893.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,660.80 : 574,989.22 = 235,431.40 : x
  2. Step 2: Convert to fraction form
    416,660.80/574,989.22 = 235,431.40/x
  3. Step 3: Cross multiply
    416,660.80x = 574,989.22 × 235,431.40
  4. Step 4: Simplify right side
    416,660.80x = 135,370,517,049.51
  5. Step 5: Solve for x
    x = 135,370,517,049.51/416,660.80
  6. Step 6: Final answer
    x = 324,893.82

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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.