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Finding the Fourth Proportional to 293,089.89, 404,471.28 and 164,027.35

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Solution

The fourth proportional to 293,089.89, 404,471.28 and 164,027.35 is: 226,361.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,089.89 : 404,471.28 = 164,027.35 : x
  2. Step 2: Convert to fraction form
    293,089.89/404,471.28 = 164,027.35/x
  3. Step 3: Cross multiply
    293,089.89x = 404,471.28 × 164,027.35
  4. Step 4: Simplify right side
    293,089.89x = 66,344,352,209.51
  5. Step 5: Solve for x
    x = 66,344,352,209.51/293,089.89
  6. Step 6: Final answer
    x = 226,361.79

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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.