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Finding the Fourth Proportional to 475,801.14, 656,544.84 and 271,865.27

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Solution

The fourth proportional to 475,801.14, 656,544.84 and 271,865.27 is: 375,139.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,801.14 : 656,544.84 = 271,865.27 : x
  2. Step 2: Convert to fraction form
    475,801.14/656,544.84 = 271,865.27/x
  3. Step 3: Cross multiply
    475,801.14x = 656,544.84 × 271,865.27
  4. Step 4: Simplify right side
    475,801.14x = 178,491,740,392.52
  5. Step 5: Solve for x
    x = 178,491,740,392.52/475,801.14
  6. Step 6: Final answer
    x = 375,139.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.