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Finding the Fourth Proportional to 355,227.80, 532,841.70 and 214,914.20

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Solution

The fourth proportional to 355,227.80, 532,841.70 and 214,914.20 is: 322,371.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,227.80 : 532,841.70 = 214,914.20 : x
  2. Step 2: Convert to fraction form
    355,227.80/532,841.70 = 214,914.20/x
  3. Step 3: Cross multiply
    355,227.80x = 532,841.70 × 214,914.20
  4. Step 4: Simplify right side
    355,227.80x = 114,515,247,682.14
  5. Step 5: Solve for x
    x = 114,515,247,682.14/355,227.80
  6. Step 6: Final answer
    x = 322,371.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.