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Finding the Fourth Proportional to 410,087.70, 615,104.21 and 197,008.29

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Solution

The fourth proportional to 410,087.70, 615,104.21 and 197,008.29 is: 295,499.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,087.70 : 615,104.21 = 197,008.29 : x
  2. Step 2: Convert to fraction form
    410,087.70/615,104.21 = 197,008.29/x
  3. Step 3: Cross multiply
    410,087.70x = 615,104.21 × 197,008.29
  4. Step 4: Simplify right side
    410,087.70x = 121,180,629,076.42
  5. Step 5: Solve for x
    x = 121,180,629,076.42/410,087.70
  6. Step 6: Final answer
    x = 295,499.30

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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.