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Finding the Fourth Proportional to 301,926.56, 416,659.59 and 165,974.44

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Solution

The fourth proportional to 301,926.56, 416,659.59 and 165,974.44 is: 229,045.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,926.56 : 416,659.59 = 165,974.44 : x
  2. Step 2: Convert to fraction form
    301,926.56/416,659.59 = 165,974.44/x
  3. Step 3: Cross multiply
    301,926.56x = 416,659.59 × 165,974.44
  4. Step 4: Simplify right side
    301,926.56x = 69,154,841,860.47
  5. Step 5: Solve for x
    x = 69,154,841,860.47/301,926.56
  6. Step 6: Final answer
    x = 229,045.24

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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.