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Finding the Fourth Proportional to 356,337.92, 491,746.44 and 195,198.77

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Solution

The fourth proportional to 356,337.92, 491,746.44 and 195,198.77 is: 269,374.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,337.92 : 491,746.44 = 195,198.77 : x
  2. Step 2: Convert to fraction form
    356,337.92/491,746.44 = 195,198.77/x
  3. Step 3: Cross multiply
    356,337.92x = 491,746.44 × 195,198.77
  4. Step 4: Simplify right side
    356,337.92x = 95,988,300,239.88
  5. Step 5: Solve for x
    x = 95,988,300,239.88/356,337.92
  6. Step 6: Final answer
    x = 269,374.36

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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.