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Finding the Fourth Proportional to 411,855.86, 568,353.84 and 228,090.62

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Solution

The fourth proportional to 411,855.86, 568,353.84 and 228,090.62 is: 314,761.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,855.86 : 568,353.84 = 228,090.62 : x
  2. Step 2: Convert to fraction form
    411,855.86/568,353.84 = 228,090.62/x
  3. Step 3: Cross multiply
    411,855.86x = 568,353.84 × 228,090.62
  4. Step 4: Simplify right side
    411,855.86x = 129,636,179,744.98
  5. Step 5: Solve for x
    x = 129,636,179,744.98/411,855.86
  6. Step 6: Final answer
    x = 314,761.04

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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.