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Finding the Fourth Proportional to 293,286.64, 404,919 and 201,563.92

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Solution

The fourth proportional to 293,286.64, 404,919 and 201,563.92 is: 278,284.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,286.64 : 404,919 = 201,563.92 : x
  2. Step 2: Convert to fraction form
    293,286.64/404,919 = 201,563.92/x
  3. Step 3: Cross multiply
    293,286.64x = 404,919 × 201,563.92
  4. Step 4: Simplify right side
    293,286.64x = 81,617,060,922.48
  5. Step 5: Solve for x
    x = 81,617,060,922.48/293,286.64
  6. Step 6: Final answer
    x = 278,284.28

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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.