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Finding the Fourth Proportional to 337,286.93, 505,023.75 and 256,942.13

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Solution

The fourth proportional to 337,286.93, 505,023.75 and 256,942.13 is: 384,722.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,286.93 : 505,023.75 = 256,942.13 : x
  2. Step 2: Convert to fraction form
    337,286.93/505,023.75 = 256,942.13/x
  3. Step 3: Cross multiply
    337,286.93x = 505,023.75 × 256,942.13
  4. Step 4: Simplify right side
    337,286.93x = 129,761,878,025.59
  5. Step 5: Solve for x
    x = 129,761,878,025.59/337,286.93
  6. Step 6: Final answer
    x = 384,722.52

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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.