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Finding the Fourth Proportional to 311,046.71, 465,822.73 and 177,522.16

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Solution

The fourth proportional to 311,046.71, 465,822.73 and 177,522.16 is: 265,856.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,046.71 : 465,822.73 = 177,522.16 : x
  2. Step 2: Convert to fraction form
    311,046.71/465,822.73 = 177,522.16/x
  3. Step 3: Cross multiply
    311,046.71x = 465,822.73 × 177,522.16
  4. Step 4: Simplify right side
    311,046.71x = 82,693,858,447.59
  5. Step 5: Solve for x
    x = 82,693,858,447.59/311,046.71
  6. Step 6: Final answer
    x = 265,856.72

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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.