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Finding the Fourth Proportional to 382,990.73, 528,447.06 and 221,836.16

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Solution

The fourth proportional to 382,990.73, 528,447.06 and 221,836.16 is: 306,087.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,990.73 : 528,447.06 = 221,836.16 : x
  2. Step 2: Convert to fraction form
    382,990.73/528,447.06 = 221,836.16/x
  3. Step 3: Cross multiply
    382,990.73x = 528,447.06 × 221,836.16
  4. Step 4: Simplify right side
    382,990.73x = 117,228,666,553.69
  5. Step 5: Solve for x
    x = 117,228,666,553.69/382,990.73
  6. Step 6: Final answer
    x = 306,087.48

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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.