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Finding the Fourth Proportional to 551,402.80, 827,104.20 and 218,978.80

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Solution

The fourth proportional to 551,402.80, 827,104.20 and 218,978.80 is: 328,468.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,402.80 : 827,104.20 = 218,978.80 : x
  2. Step 2: Convert to fraction form
    551,402.80/827,104.20 = 218,978.80/x
  3. Step 3: Cross multiply
    551,402.80x = 827,104.20 × 218,978.80
  4. Step 4: Simplify right side
    551,402.80x = 181,118,285,190.96
  5. Step 5: Solve for x
    x = 181,118,285,190.96/551,402.80
  6. Step 6: Final answer
    x = 328,468.20

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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.