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Finding the Fourth Proportional to 541,624.68, 811,906.74 and 226,171.80

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Solution

The fourth proportional to 541,624.68, 811,906.74 and 226,171.80 is: 339,036.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,624.68 : 811,906.74 = 226,171.80 : x
  2. Step 2: Convert to fraction form
    541,624.68/811,906.74 = 226,171.80/x
  3. Step 3: Cross multiply
    541,624.68x = 811,906.74 × 226,171.80
  4. Step 4: Simplify right side
    541,624.68x = 183,630,408,817.93
  5. Step 5: Solve for x
    x = 183,630,408,817.93/541,624.68
  6. Step 6: Final answer
    x = 339,036.27

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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.