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Finding the Fourth Proportional to 378,222.87, 567,375.82 and 188,730.93

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Solution

The fourth proportional to 378,222.87, 567,375.82 and 188,730.93 is: 283,117.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,222.87 : 567,375.82 = 188,730.93 : x
  2. Step 2: Convert to fraction form
    378,222.87/567,375.82 = 188,730.93/x
  3. Step 3: Cross multiply
    378,222.87x = 567,375.82 × 188,730.93
  4. Step 4: Simplify right side
    378,222.87x = 107,081,366,168.11
  5. Step 5: Solve for x
    x = 107,081,366,168.11/378,222.87
  6. Step 6: Final answer
    x = 283,117.11

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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.