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Finding the Fourth Proportional to 385,821.12, 532,418.22 and 216,046.56

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Solution

The fourth proportional to 385,821.12, 532,418.22 and 216,046.56 is: 298,135.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,821.12 : 532,418.22 = 216,046.56 : x
  2. Step 2: Convert to fraction form
    385,821.12/532,418.22 = 216,046.56/x
  3. Step 3: Cross multiply
    385,821.12x = 532,418.22 × 216,046.56
  4. Step 4: Simplify right side
    385,821.12x = 115,027,124,912.32
  5. Step 5: Solve for x
    x = 115,027,124,912.32/385,821.12
  6. Step 6: Final answer
    x = 298,135.89

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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.