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Finding the Fourth Proportional to 299,418.52, 413,267.03 and 197,462.38

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Solution

The fourth proportional to 299,418.52, 413,267.03 and 197,462.38 is: 272,543.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,418.52 : 413,267.03 = 197,462.38 : x
  2. Step 2: Convert to fraction form
    299,418.52/413,267.03 = 197,462.38/x
  3. Step 3: Cross multiply
    299,418.52x = 413,267.03 × 197,462.38
  4. Step 4: Simplify right side
    299,418.52x = 81,604,691,319.33
  5. Step 5: Solve for x
    x = 81,604,691,319.33/299,418.52
  6. Step 6: Final answer
    x = 272,543.90

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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.