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Finding the Fourth Proportional to 543,216.41, 814,627.77 and 243,542.73

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Solution

The fourth proportional to 543,216.41, 814,627.77 and 243,542.73 is: 365,225.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,216.41 : 814,627.77 = 243,542.73 : x
  2. Step 2: Convert to fraction form
    543,216.41/814,627.77 = 243,542.73/x
  3. Step 3: Cross multiply
    543,216.41x = 814,627.77 × 243,542.73
  4. Step 4: Simplify right side
    543,216.41x = 198,396,671,039.61
  5. Step 5: Solve for x
    x = 198,396,671,039.61/543,216.41
  6. Step 6: Final answer
    x = 365,225.85

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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.