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Finding the Fourth Proportional to 385,378.56, 531,789.84 and 221,991.84

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Solution

The fourth proportional to 385,378.56, 531,789.84 and 221,991.84 is: 306,329.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,378.56 : 531,789.84 = 221,991.84 : x
  2. Step 2: Convert to fraction form
    385,378.56/531,789.84 = 221,991.84/x
  3. Step 3: Cross multiply
    385,378.56x = 531,789.84 × 221,991.84
  4. Step 4: Simplify right side
    385,378.56x = 118,053,005,074.91
  5. Step 5: Solve for x
    x = 118,053,005,074.91/385,378.56
  6. Step 6: Final answer
    x = 306,329.98

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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.