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Finding the Fourth Proportional to 537,742.40, 806,419.20 and 271,414.40

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Solution

The fourth proportional to 537,742.40, 806,419.20 and 271,414.40 is: 407,023.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,742.40 : 806,419.20 = 271,414.40 : x
  2. Step 2: Convert to fraction form
    537,742.40/806,419.20 = 271,414.40/x
  3. Step 3: Cross multiply
    537,742.40x = 806,419.20 × 271,414.40
  4. Step 4: Simplify right side
    537,742.40x = 218,873,783,316.48
  5. Step 5: Solve for x
    x = 218,873,783,316.48/537,742.40
  6. Step 6: Final answer
    x = 407,023.48

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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.