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Finding the Fourth Proportional to 413,286.48, 568,884.52 and 362,178.80

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Solution

The fourth proportional to 413,286.48, 568,884.52 and 362,178.80 is: 498,535.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,286.48 : 568,884.52 = 362,178.80 : x
  2. Step 2: Convert to fraction form
    413,286.48/568,884.52 = 362,178.80/x
  3. Step 3: Cross multiply
    413,286.48x = 568,884.52 × 362,178.80
  4. Step 4: Simplify right side
    413,286.48x = 206,037,912,792.18
  5. Step 5: Solve for x
    x = 206,037,912,792.18/413,286.48
  6. Step 6: Final answer
    x = 498,535.33

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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.