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Finding the Fourth Proportional to 334,422.48, 461,472.48 and 198,433.02

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Solution

The fourth proportional to 334,422.48, 461,472.48 and 198,433.02 is: 273,819.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,422.48 : 461,472.48 = 198,433.02 : x
  2. Step 2: Convert to fraction form
    334,422.48/461,472.48 = 198,433.02/x
  3. Step 3: Cross multiply
    334,422.48x = 461,472.48 × 198,433.02
  4. Step 4: Simplify right side
    334,422.48x = 91,571,377,853.29
  5. Step 5: Solve for x
    x = 91,571,377,853.29/334,422.48
  6. Step 6: Final answer
    x = 273,819.44

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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.