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Finding the Fourth Proportional to 382,876.68, 528,369.84 and 213,107.16

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Solution

The fourth proportional to 382,876.68, 528,369.84 and 213,107.16 is: 294,087.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,876.68 : 528,369.84 = 213,107.16 : x
  2. Step 2: Convert to fraction form
    382,876.68/528,369.84 = 213,107.16/x
  3. Step 3: Cross multiply
    382,876.68x = 528,369.84 × 213,107.16
  4. Step 4: Simplify right side
    382,876.68x = 112,599,396,032.05
  5. Step 5: Solve for x
    x = 112,599,396,032.05/382,876.68
  6. Step 6: Final answer
    x = 294,087.89

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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.