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Finding the Fourth Proportional to 293,175.86, 404,583.47 and 159,039.86

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Solution

The fourth proportional to 293,175.86, 404,583.47 and 159,039.86 is: 219,475.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,175.86 : 404,583.47 = 159,039.86 : x
  2. Step 2: Convert to fraction form
    293,175.86/404,583.47 = 159,039.86/x
  3. Step 3: Cross multiply
    293,175.86x = 404,583.47 × 159,039.86
  4. Step 4: Simplify right side
    293,175.86x = 64,344,895,609.00
  5. Step 5: Solve for x
    x = 64,344,895,609.00/293,175.86
  6. Step 6: Final answer
    x = 219,475.43

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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.