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Finding the Fourth Proportional to 461,796.80, 693,132.60 and 284,649.80

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Solution

The fourth proportional to 461,796.80, 693,132.60 and 284,649.80 is: 427,244.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,796.80 : 693,132.60 = 284,649.80 : x
  2. Step 2: Convert to fraction form
    461,796.80/693,132.60 = 284,649.80/x
  3. Step 3: Cross multiply
    461,796.80x = 693,132.60 × 284,649.80
  4. Step 4: Simplify right side
    461,796.80x = 197,300,055,963.48
  5. Step 5: Solve for x
    x = 197,300,055,963.48/461,796.80
  6. Step 6: Final answer
    x = 427,244.31

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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.