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Finding the Fourth Proportional to 552,204.80, 827,140.80 and 458,892.80

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Solution

The fourth proportional to 552,204.80, 827,140.80 and 458,892.80 is: 687,369.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,204.80 : 827,140.80 = 458,892.80 : x
  2. Step 2: Convert to fraction form
    552,204.80/827,140.80 = 458,892.80/x
  3. Step 3: Cross multiply
    552,204.80x = 827,140.80 × 458,892.80
  4. Step 4: Simplify right side
    552,204.80x = 379,568,957,706.24
  5. Step 5: Solve for x
    x = 379,568,957,706.24/552,204.80
  6. Step 6: Final answer
    x = 687,369.90

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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.