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Finding the Fourth Proportional to 294,910.38, 406,821.15 and 199,449.18

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Solution

The fourth proportional to 294,910.38, 406,821.15 and 199,449.18 is: 275,134.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,910.38 : 406,821.15 = 199,449.18 : x
  2. Step 2: Convert to fraction form
    294,910.38/406,821.15 = 199,449.18/x
  3. Step 3: Cross multiply
    294,910.38x = 406,821.15 × 199,449.18
  4. Step 4: Simplify right side
    294,910.38x = 81,140,144,774.16
  5. Step 5: Solve for x
    x = 81,140,144,774.16/294,910.38
  6. Step 6: Final answer
    x = 275,134.92

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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.