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Finding the Fourth Proportional to 341,638.30, 471,518.54 and 198,481.38

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Solution

The fourth proportional to 341,638.30, 471,518.54 and 198,481.38 is: 273,937.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,638.30 : 471,518.54 = 198,481.38 : x
  2. Step 2: Convert to fraction form
    341,638.30/471,518.54 = 198,481.38/x
  3. Step 3: Cross multiply
    341,638.30x = 471,518.54 × 198,481.38
  4. Step 4: Simplify right side
    341,638.30x = 93,587,650,514.79
  5. Step 5: Solve for x
    x = 93,587,650,514.79/341,638.30
  6. Step 6: Final answer
    x = 273,937.82

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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.