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Finding the Fourth Proportional to 378,889.89, 567,882.24 and 176,212.50

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Solution

The fourth proportional to 378,889.89, 567,882.24 and 176,212.50 is: 264,108.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,889.89 : 567,882.24 = 176,212.50 : x
  2. Step 2: Convert to fraction form
    378,889.89/567,882.24 = 176,212.50/x
  3. Step 3: Cross multiply
    378,889.89x = 567,882.24 × 176,212.50
  4. Step 4: Simplify right side
    378,889.89x = 100,067,949,216
  5. Step 5: Solve for x
    x = 100,067,949,216/378,889.89
  6. Step 6: Final answer
    x = 264,108.26

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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.