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Finding the Fourth Proportional to 386,803.26, 533,780.09 and 214,711.26

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Solution

The fourth proportional to 386,803.26, 533,780.09 and 214,711.26 is: 296,296.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,803.26 : 533,780.09 = 214,711.26 : x
  2. Step 2: Convert to fraction form
    386,803.26/533,780.09 = 214,711.26/x
  3. Step 3: Cross multiply
    386,803.26x = 533,780.09 × 214,711.26
  4. Step 4: Simplify right side
    386,803.26x = 114,608,594,613.26
  5. Step 5: Solve for x
    x = 114,608,594,613.26/386,803.26
  6. Step 6: Final answer
    x = 296,296.87

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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.