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Finding the Fourth Proportional to 235,682.80, 353,005.80 and 204,578.80

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Solution

The fourth proportional to 235,682.80, 353,005.80 and 204,578.80 is: 306,418.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,682.80 : 353,005.80 = 204,578.80 : x
  2. Step 2: Convert to fraction form
    235,682.80/353,005.80 = 204,578.80/x
  3. Step 3: Cross multiply
    235,682.80x = 353,005.80 × 204,578.80
  4. Step 4: Simplify right side
    235,682.80x = 72,217,502,957.04
  5. Step 5: Solve for x
    x = 72,217,502,957.04/235,682.80
  6. Step 6: Final answer
    x = 306,418.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.