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Finding the Fourth Proportional to 278,057.73, 383,584.37 and 164,800.29

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Solution

The fourth proportional to 278,057.73, 383,584.37 and 164,800.29 is: 227,344.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,057.73 : 383,584.37 = 164,800.29 : x
  2. Step 2: Convert to fraction form
    278,057.73/383,584.37 = 164,800.29/x
  3. Step 3: Cross multiply
    278,057.73x = 383,584.37 × 164,800.29
  4. Step 4: Simplify right side
    278,057.73x = 63,214,814,591.47
  5. Step 5: Solve for x
    x = 63,214,814,591.47/278,057.73
  6. Step 6: Final answer
    x = 227,344.21

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1.5x scale

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.