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Finding the Fourth Proportional to 399,076.80, 598,906.80 and 280,978.80

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Solution

The fourth proportional to 399,076.80, 598,906.80 and 280,978.80 is: 421,673.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,076.80 : 598,906.80 = 280,978.80 : x
  2. Step 2: Convert to fraction form
    399,076.80/598,906.80 = 280,978.80/x
  3. Step 3: Cross multiply
    399,076.80x = 598,906.80 × 280,978.80
  4. Step 4: Simplify right side
    399,076.80x = 168,280,113,975.84
  5. Step 5: Solve for x
    x = 168,280,113,975.84/399,076.80
  6. Step 6: Final answer
    x = 421,673.51

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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.