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Finding the Fourth Proportional to 326,647.14, 450,821.88 and 199,396.68

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Solution

The fourth proportional to 326,647.14, 450,821.88 and 199,396.68 is: 275,197.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,647.14 : 450,821.88 = 199,396.68 : x
  2. Step 2: Convert to fraction form
    326,647.14/450,821.88 = 199,396.68/x
  3. Step 3: Cross multiply
    326,647.14x = 450,821.88 × 199,396.68
  4. Step 4: Simplify right side
    326,647.14x = 89,892,386,143.36
  5. Step 5: Solve for x
    x = 89,892,386,143.36/326,647.14
  6. Step 6: Final answer
    x = 275,197.22

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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.