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Finding the Fourth Proportional to 293,357.40, 404,799.62 and 164,277.88

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Solution

The fourth proportional to 293,357.40, 404,799.62 and 164,277.88 is: 226,684.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,357.40 : 404,799.62 = 164,277.88 : x
  2. Step 2: Convert to fraction form
    293,357.40/404,799.62 = 164,277.88/x
  3. Step 3: Cross multiply
    293,357.40x = 404,799.62 × 164,277.88
  4. Step 4: Simplify right side
    293,357.40x = 66,499,623,398.41
  5. Step 5: Solve for x
    x = 66,499,623,398.41/293,357.40
  6. Step 6: Final answer
    x = 226,684.66

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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.