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Finding the Fourth Proportional to 294,912.38, 406,823.91 and 199,451.18

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Solution

The fourth proportional to 294,912.38, 406,823.91 and 199,451.18 is: 275,137.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,912.38 : 406,823.91 = 199,451.18 : x
  2. Step 2: Convert to fraction form
    294,912.38/406,823.91 = 199,451.18/x
  3. Step 3: Cross multiply
    294,912.38x = 406,823.91 × 199,451.18
  4. Step 4: Simplify right side
    294,912.38x = 81,141,508,901.71
  5. Step 5: Solve for x
    x = 81,141,508,901.71/294,912.38
  6. Step 6: Final answer
    x = 275,137.68

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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.