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Finding the Fourth Proportional to 293,282.64, 404,913.48 and 201,559.92

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Solution

The fourth proportional to 293,282.64, 404,913.48 and 201,559.92 is: 278,278.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,282.64 : 404,913.48 = 201,559.92 : x
  2. Step 2: Convert to fraction form
    293,282.64/404,913.48 = 201,559.92/x
  3. Step 3: Cross multiply
    293,282.64x = 404,913.48 × 201,559.92
  4. Step 4: Simplify right side
    293,282.64x = 81,614,328,635.72
  5. Step 5: Solve for x
    x = 81,614,328,635.72/293,282.64
  6. Step 6: Final answer
    x = 278,278.76

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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.