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Finding the Fourth Proportional to 361,279.02, 541,935.81 and 174,447.66

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Solution

The fourth proportional to 361,279.02, 541,935.81 and 174,447.66 is: 261,679.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,279.02 : 541,935.81 = 174,447.66 : x
  2. Step 2: Convert to fraction form
    361,279.02/541,935.81 = 174,447.66/x
  3. Step 3: Cross multiply
    361,279.02x = 541,935.81 × 174,447.66
  4. Step 4: Simplify right side
    361,279.02x = 94,539,433,924.70
  5. Step 5: Solve for x
    x = 94,539,433,924.70/361,279.02
  6. Step 6: Final answer
    x = 261,679.83

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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.