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Finding the Fourth Proportional to 257,377.46, 384,305.79 and 230,550.26

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Solution

The fourth proportional to 257,377.46, 384,305.79 and 230,550.26 is: 344,248.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,377.46 : 384,305.79 = 230,550.26 : x
  2. Step 2: Convert to fraction form
    257,377.46/384,305.79 = 230,550.26/x
  3. Step 3: Cross multiply
    257,377.46x = 384,305.79 × 230,550.26
  4. Step 4: Simplify right side
    257,377.46x = 88,601,798,651.25
  5. Step 5: Solve for x
    x = 88,601,798,651.25/257,377.46
  6. Step 6: Final answer
    x = 344,248.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.