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Finding the Fourth Proportional to 378,546.83, 567,876.96 and 122,293.78

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Solution

The fourth proportional to 378,546.83, 567,876.96 and 122,293.78 is: 183,458.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,546.83 : 567,876.96 = 122,293.78 : x
  2. Step 2: Convert to fraction form
    378,546.83/567,876.96 = 122,293.78/x
  3. Step 3: Cross multiply
    378,546.83x = 567,876.96 × 122,293.78
  4. Step 4: Simplify right side
    378,546.83x = 69,447,818,593.62
  5. Step 5: Solve for x
    x = 69,447,818,593.62/378,546.83
  6. Step 6: Final answer
    x = 183,458.99

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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.