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Finding the Fourth Proportional to 222,311.45, 306,966.71 and 205,309.49

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Solution

The fourth proportional to 222,311.45, 306,966.71 and 205,309.49 is: 283,490.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,311.45 : 306,966.71 = 205,309.49 : x
  2. Step 2: Convert to fraction form
    222,311.45/306,966.71 = 205,309.49/x
  3. Step 3: Cross multiply
    222,311.45x = 306,966.71 × 205,309.49
  4. Step 4: Simplify right side
    222,311.45x = 63,023,177,655.52
  5. Step 5: Solve for x
    x = 63,023,177,655.52/222,311.45
  6. Step 6: Final answer
    x = 283,490.47

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