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Finding the Fourth Proportional to 428,657.78, 642,584.36 and 144,149.39

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Solution

The fourth proportional to 428,657.78, 642,584.36 and 144,149.39 is: 216,088.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,657.78 : 642,584.36 = 144,149.39 : x
  2. Step 2: Convert to fraction form
    428,657.78/642,584.36 = 144,149.39/x
  3. Step 3: Cross multiply
    428,657.78x = 642,584.36 × 144,149.39
  4. Step 4: Simplify right side
    428,657.78x = 92,628,143,517.54
  5. Step 5: Solve for x
    x = 92,628,143,517.54/428,657.78
  6. Step 6: Final answer
    x = 216,088.80

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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.