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Finding the Fourth Proportional to 382,722.32, 528,221.56 and 221,675.42

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Solution

The fourth proportional to 382,722.32, 528,221.56 and 221,675.42 is: 305,949.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,722.32 : 528,221.56 = 221,675.42 : x
  2. Step 2: Convert to fraction form
    382,722.32/528,221.56 = 221,675.42/x
  3. Step 3: Cross multiply
    382,722.32x = 528,221.56 × 221,675.42
  4. Step 4: Simplify right side
    382,722.32x = 117,093,736,166.06
  5. Step 5: Solve for x
    x = 117,093,736,166.06/382,722.32
  6. Step 6: Final answer
    x = 305,949.59

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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.