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Finding the Fourth Proportional to 326,776.40, 450,819.18 and 205,704.08

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Solution

The fourth proportional to 326,776.40, 450,819.18 and 205,704.08 is: 283,788.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,776.40 : 450,819.18 = 205,704.08 : x
  2. Step 2: Convert to fraction form
    326,776.40/450,819.18 = 205,704.08/x
  3. Step 3: Cross multiply
    326,776.40x = 450,819.18 × 205,704.08
  4. Step 4: Simplify right side
    326,776.40x = 92,735,344,668.25
  5. Step 5: Solve for x
    x = 92,735,344,668.25/326,776.40
  6. Step 6: Final answer
    x = 283,788.38

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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.