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Finding the Fourth Proportional to 537,760.17, 807,138.72 and 271,707.68

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Solution

The fourth proportional to 537,760.17, 807,138.72 and 271,707.68 is: 407,813.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,760.17 : 807,138.72 = 271,707.68 : x
  2. Step 2: Convert to fraction form
    537,760.17/807,138.72 = 271,707.68/x
  3. Step 3: Cross multiply
    537,760.17x = 807,138.72 × 271,707.68
  4. Step 4: Simplify right side
    537,760.17x = 219,305,791,067.22
  5. Step 5: Solve for x
    x = 219,305,791,067.22/537,760.17
  6. Step 6: Final answer
    x = 407,813.38

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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.