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Finding the Fourth Proportional to 548,675.80, 823,013.70 and 511,811.80

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Solution

The fourth proportional to 548,675.80, 823,013.70 and 511,811.80 is: 767,717.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,675.80 : 823,013.70 = 511,811.80 : x
  2. Step 2: Convert to fraction form
    548,675.80/823,013.70 = 511,811.80/x
  3. Step 3: Cross multiply
    548,675.80x = 823,013.70 × 511,811.80
  4. Step 4: Simplify right side
    548,675.80x = 421,228,123,221.66
  5. Step 5: Solve for x
    x = 421,228,123,221.66/548,675.80
  6. Step 6: Final answer
    x = 767,717.70

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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.