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Finding the Fourth Proportional to 378,496.41, 567,835.74 and 141,841.14

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Solution

The fourth proportional to 378,496.41, 567,835.74 and 141,841.14 is: 212,795.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,496.41 : 567,835.74 = 141,841.14 : x
  2. Step 2: Convert to fraction form
    378,496.41/567,835.74 = 141,841.14/x
  3. Step 3: Cross multiply
    378,496.41x = 567,835.74 × 141,841.14
  4. Step 4: Simplify right side
    378,496.41x = 80,542,468,694.34
  5. Step 5: Solve for x
    x = 80,542,468,694.34/378,496.41
  6. Step 6: Final answer
    x = 212,795.86

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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.