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Finding the Fourth Proportional to 378,777.28, 522,901.84 and 235,583.52

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Solution

The fourth proportional to 378,777.28, 522,901.84 and 235,583.52 is: 325,222.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,777.28 : 522,901.84 = 235,583.52 : x
  2. Step 2: Convert to fraction form
    378,777.28/522,901.84 = 235,583.52/x
  3. Step 3: Cross multiply
    378,777.28x = 522,901.84 × 235,583.52
  4. Step 4: Simplify right side
    378,777.28x = 123,187,056,081.68
  5. Step 5: Solve for x
    x = 123,187,056,081.68/378,777.28
  6. Step 6: Final answer
    x = 325,222.93

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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.