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Finding the Fourth Proportional to 461,998, 693,273.48 and 199,342

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Solution

The fourth proportional to 461,998, 693,273.48 and 199,342 is: 299,132.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,998 : 693,273.48 = 199,342 : x
  2. Step 2: Convert to fraction form
    461,998/693,273.48 = 199,342/x
  3. Step 3: Cross multiply
    461,998x = 693,273.48 × 199,342
  4. Step 4: Simplify right side
    461,998x = 138,198,522,050.16
  5. Step 5: Solve for x
    x = 138,198,522,050.16/461,998
  6. Step 6: Final answer
    x = 299,132.30

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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.