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Finding the Fourth Proportional to 377,822.26, 521,257.77 and 214,384.12

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Solution

The fourth proportional to 377,822.26, 521,257.77 and 214,384.12 is: 295,772.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,822.26 : 521,257.77 = 214,384.12 : x
  2. Step 2: Convert to fraction form
    377,822.26/521,257.77 = 214,384.12/x
  3. Step 3: Cross multiply
    377,822.26x = 521,257.77 × 214,384.12
  4. Step 4: Simplify right side
    377,822.26x = 111,749,388,314.61
  5. Step 5: Solve for x
    x = 111,749,388,314.61/377,822.26
  6. Step 6: Final answer
    x = 295,772.38

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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.