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Finding the Fourth Proportional to 301,040.17, 415,435.23 and 165,076.43

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Solution

The fourth proportional to 301,040.17, 415,435.23 and 165,076.43 is: 227,805.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,040.17 : 415,435.23 = 165,076.43 : x
  2. Step 2: Convert to fraction form
    301,040.17/415,435.23 = 165,076.43/x
  3. Step 3: Cross multiply
    301,040.17x = 415,435.23 × 165,076.43
  4. Step 4: Simplify right side
    301,040.17x = 68,578,564,924.28
  5. Step 5: Solve for x
    x = 68,578,564,924.28/301,040.17
  6. Step 6: Final answer
    x = 227,805.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.