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Finding the Fourth Proportional to 567,234.18, 782,773.12 and 309,113.44

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Solution

The fourth proportional to 567,234.18, 782,773.12 and 309,113.44 is: 426,571.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,234.18 : 782,773.12 = 309,113.44 : x
  2. Step 2: Convert to fraction form
    567,234.18/782,773.12 = 309,113.44/x
  3. Step 3: Cross multiply
    567,234.18x = 782,773.12 × 309,113.44
  4. Step 4: Simplify right side
    567,234.18x = 241,965,691,862.73
  5. Step 5: Solve for x
    x = 241,965,691,862.73/567,234.18
  6. Step 6: Final answer
    x = 426,571.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.