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Finding the Fourth Proportional to 385,827.20, 532,429.14 and 213,738.14

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Solution

The fourth proportional to 385,827.20, 532,429.14 and 213,738.14 is: 294,951.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,827.20 : 532,429.14 = 213,738.14 : x
  2. Step 2: Convert to fraction form
    385,827.20/532,429.14 = 213,738.14/x
  3. Step 3: Cross multiply
    385,827.20x = 532,429.14 × 213,738.14
  4. Step 4: Simplify right side
    385,827.20x = 113,800,414,065.40
  5. Step 5: Solve for x
    x = 113,800,414,065.40/385,827.20
  6. Step 6: Final answer
    x = 294,951.77

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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.