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Finding the Fourth Proportional to 385,993.92, 532,672.86 and 213,914.70

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Solution

The fourth proportional to 385,993.92, 532,672.86 and 213,914.70 is: 295,202.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,993.92 : 532,672.86 = 213,914.70 : x
  2. Step 2: Convert to fraction form
    385,993.92/532,672.86 = 213,914.70/x
  3. Step 3: Cross multiply
    385,993.92x = 532,672.86 × 213,914.70
  4. Step 4: Simplify right side
    385,993.92x = 113,946,555,045.04
  5. Step 5: Solve for x
    x = 113,946,555,045.04/385,993.92
  6. Step 6: Final answer
    x = 295,202.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.