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Finding the Fourth Proportional to 543,634.20, 815,645.70 and 228,187.80

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Solution

The fourth proportional to 543,634.20, 815,645.70 and 228,187.80 is: 342,363.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,634.20 : 815,645.70 = 228,187.80 : x
  2. Step 2: Convert to fraction form
    543,634.20/815,645.70 = 228,187.80/x
  3. Step 3: Cross multiply
    543,634.20x = 815,645.70 × 228,187.80
  4. Step 4: Simplify right side
    543,634.20x = 186,120,397,862.46
  5. Step 5: Solve for x
    x = 186,120,397,862.46/543,634.20
  6. Step 6: Final answer
    x = 342,363.30

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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.