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Finding the Fourth Proportional to 465,654.51, 642,584.28 and 284,669.33

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Solution

The fourth proportional to 465,654.51, 642,584.28 and 284,669.33 is: 392,832.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,654.51 : 642,584.28 = 284,669.33 : x
  2. Step 2: Convert to fraction form
    465,654.51/642,584.28 = 284,669.33/x
  3. Step 3: Cross multiply
    465,654.51x = 642,584.28 × 284,669.33
  4. Step 4: Simplify right side
    465,654.51x = 182,924,033,243.21
  5. Step 5: Solve for x
    x = 182,924,033,243.21/465,654.51
  6. Step 6: Final answer
    x = 392,832.09

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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.