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Finding the Fourth Proportional to 461,997, 693,271.98 and 199,341

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Solution

The fourth proportional to 461,997, 693,271.98 and 199,341 is: 299,130.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,997 : 693,271.98 = 199,341 : x
  2. Step 2: Convert to fraction form
    461,997/693,271.98 = 199,341/x
  3. Step 3: Cross multiply
    461,997x = 693,271.98 × 199,341
  4. Step 4: Simplify right side
    461,997x = 138,197,529,765.18
  5. Step 5: Solve for x
    x = 138,197,529,765.18/461,997
  6. Step 6: Final answer
    x = 299,130.79

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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.