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Finding the Fourth Proportional to 410,305.20, 615,515.40 and 129,793.20

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Solution

The fourth proportional to 410,305.20, 615,515.40 and 129,793.20 is: 194,708.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,305.20 : 615,515.40 = 129,793.20 : x
  2. Step 2: Convert to fraction form
    410,305.20/615,515.40 = 129,793.20/x
  3. Step 3: Cross multiply
    410,305.20x = 615,515.40 × 129,793.20
  4. Step 4: Simplify right side
    410,305.20x = 79,889,713,415.28
  5. Step 5: Solve for x
    x = 79,889,713,415.28/410,305.20
  6. Step 6: Final answer
    x = 194,708.02

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