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Finding the Fourth Proportional to 548,965.80, 823,967.10 and 339,013.80

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Solution

The fourth proportional to 548,965.80, 823,967.10 and 339,013.80 is: 508,840.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,965.80 : 823,967.10 = 339,013.80 : x
  2. Step 2: Convert to fraction form
    548,965.80/823,967.10 = 339,013.80/x
  3. Step 3: Cross multiply
    548,965.80x = 823,967.10 × 339,013.80
  4. Step 4: Simplify right side
    548,965.80x = 279,336,217,645.98
  5. Step 5: Solve for x
    x = 279,336,217,645.98/548,965.80
  6. Step 6: Final answer
    x = 508,840.84

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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.