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Finding the Fourth Proportional to 427,757.16, 590,367 and 246,433.80

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Solution

The fourth proportional to 427,757.16, 590,367 and 246,433.80 is: 340,114.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,757.16 : 590,367 = 246,433.80 : x
  2. Step 2: Convert to fraction form
    427,757.16/590,367 = 246,433.80/x
  3. Step 3: Cross multiply
    427,757.16x = 590,367 × 246,433.80
  4. Step 4: Simplify right side
    427,757.16x = 145,486,383,204.60
  5. Step 5: Solve for x
    x = 145,486,383,204.60/427,757.16
  6. Step 6: Final answer
    x = 340,114.43

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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.