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Finding the Fourth Proportional to 326,497.11, 450,508.28 and 199,213.71

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Solution

The fourth proportional to 326,497.11, 450,508.28 and 199,213.71 is: 274,879.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,497.11 : 450,508.28 = 199,213.71 : x
  2. Step 2: Convert to fraction form
    326,497.11/450,508.28 = 199,213.71/x
  3. Step 3: Cross multiply
    326,497.11x = 450,508.28 × 199,213.71
  4. Step 4: Simplify right side
    326,497.11x = 89,747,424,848.45
  5. Step 5: Solve for x
    x = 89,747,424,848.45/326,497.11
  6. Step 6: Final answer
    x = 274,879.69

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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.