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Finding the Fourth Proportional to 326,744.78, 450,854.91 and 204,222.71

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Solution

The fourth proportional to 326,744.78, 450,854.91 and 204,222.71 is: 281,794.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,744.78 : 450,854.91 = 204,222.71 : x
  2. Step 2: Convert to fraction form
    326,744.78/450,854.91 = 204,222.71/x
  3. Step 3: Cross multiply
    326,744.78x = 450,854.91 × 204,222.71
  4. Step 4: Simplify right side
    326,744.78x = 92,074,811,537.01
  5. Step 5: Solve for x
    x = 92,074,811,537.01/326,744.78
  6. Step 6: Final answer
    x = 281,794.28

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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.