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Finding the Fourth Proportional to 385,793.96, 532,389.92 and 213,711.41

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Solution

The fourth proportional to 385,793.96, 532,389.92 and 213,711.41 is: 294,918.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,793.96 : 532,389.92 = 213,711.41 : x
  2. Step 2: Convert to fraction form
    385,793.96/532,389.92 = 213,711.41/x
  3. Step 3: Cross multiply
    385,793.96x = 532,389.92 × 213,711.41
  4. Step 4: Simplify right side
    385,793.96x = 113,777,802,538.60
  5. Step 5: Solve for x
    x = 113,777,802,538.60/385,793.96
  6. Step 6: Final answer
    x = 294,918.57

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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.