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Finding the Fourth Proportional to 349,897.78, 482,901.42 and 196,993.24

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Solution

The fourth proportional to 349,897.78, 482,901.42 and 196,993.24 is: 271,874.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,897.78 : 482,901.42 = 196,993.24 : x
  2. Step 2: Convert to fraction form
    349,897.78/482,901.42 = 196,993.24/x
  3. Step 3: Cross multiply
    349,897.78x = 482,901.42 × 196,993.24
  4. Step 4: Simplify right side
    349,897.78x = 95,128,315,326.40
  5. Step 5: Solve for x
    x = 95,128,315,326.40/349,897.78
  6. Step 6: Final answer
    x = 271,874.59

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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.