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Finding the Fourth Proportional to 385,986.06, 532,659.24 and 216,219.78

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Solution

The fourth proportional to 385,986.06, 532,659.24 and 216,219.78 is: 298,382.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,986.06 : 532,659.24 = 216,219.78 : x
  2. Step 2: Convert to fraction form
    385,986.06/532,659.24 = 216,219.78/x
  3. Step 3: Cross multiply
    385,986.06x = 532,659.24 × 216,219.78
  4. Step 4: Simplify right side
    385,986.06x = 115,171,463,687.77
  5. Step 5: Solve for x
    x = 115,171,463,687.77/385,986.06
  6. Step 6: Final answer
    x = 298,382.44

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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.