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Finding the Fourth Proportional to 404,198.58, 557,835.66 and 257,125.44

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Solution

The fourth proportional to 404,198.58, 557,835.66 and 257,125.44 is: 354,859.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,198.58 : 557,835.66 = 257,125.44 : x
  2. Step 2: Convert to fraction form
    404,198.58/557,835.66 = 257,125.44/x
  3. Step 3: Cross multiply
    404,198.58x = 557,835.66 × 257,125.44
  4. Step 4: Simplify right side
    404,198.58x = 143,433,739,525.19
  5. Step 5: Solve for x
    x = 143,433,739,525.19/404,198.58
  6. Step 6: Final answer
    x = 354,859.58

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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.