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Finding the Fourth Proportional to 293,216.64, 404,822.16 and 201,493.86

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Solution

The fourth proportional to 293,216.64, 404,822.16 and 201,493.86 is: 278,187.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,216.64 : 404,822.16 = 201,493.86 : x
  2. Step 2: Convert to fraction form
    293,216.64/404,822.16 = 201,493.86/x
  3. Step 3: Cross multiply
    293,216.64x = 404,822.16 × 201,493.86
  4. Step 4: Simplify right side
    293,216.64x = 81,569,179,631.94
  5. Step 5: Solve for x
    x = 81,569,179,631.94/293,216.64
  6. Step 6: Final answer
    x = 278,187.42

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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.