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Finding the Fourth Proportional to 275,711.58, 380,455.11 and 154,825.38

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Solution

The fourth proportional to 275,711.58, 380,455.11 and 154,825.38 is: 213,643.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,711.58 : 380,455.11 = 154,825.38 : x
  2. Step 2: Convert to fraction form
    275,711.58/380,455.11 = 154,825.38/x
  3. Step 3: Cross multiply
    275,711.58x = 380,455.11 × 154,825.38
  4. Step 4: Simplify right side
    275,711.58x = 58,904,106,978.69
  5. Step 5: Solve for x
    x = 58,904,106,978.69/275,711.58
  6. Step 6: Final answer
    x = 213,643.94

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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.