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Finding the Fourth Proportional to 349,476.28, 482,274.74 and 198,573.28

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Solution

The fourth proportional to 349,476.28, 482,274.74 and 198,573.28 is: 274,029.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,476.28 : 482,274.74 = 198,573.28 : x
  2. Step 2: Convert to fraction form
    349,476.28/482,274.74 = 198,573.28/x
  3. Step 3: Cross multiply
    349,476.28x = 482,274.74 × 198,573.28
  4. Step 4: Simplify right side
    349,476.28x = 95,766,876,982.95
  5. Step 5: Solve for x
    x = 95,766,876,982.95/349,476.28
  6. Step 6: Final answer
    x = 274,029.69

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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.