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Finding the Fourth Proportional to 410,563.20, 615,716.80 and 161,321.60

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Solution

The fourth proportional to 410,563.20, 615,716.80 and 161,321.60 is: 241,932.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,563.20 : 615,716.80 = 161,321.60 : x
  2. Step 2: Convert to fraction form
    410,563.20/615,716.80 = 161,321.60/x
  3. Step 3: Cross multiply
    410,563.20x = 615,716.80 × 161,321.60
  4. Step 4: Simplify right side
    410,563.20x = 99,328,419,322.88
  5. Step 5: Solve for x
    x = 99,328,419,322.88/410,563.20
  6. Step 6: Final answer
    x = 241,932.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.