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Finding the Fourth Proportional to 538,124.49, 807,286.13 and 222,606

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Solution

The fourth proportional to 538,124.49, 807,286.13 and 222,606 is: 333,950.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,124.49 : 807,286.13 = 222,606 : x
  2. Step 2: Convert to fraction form
    538,124.49/807,286.13 = 222,606/x
  3. Step 3: Cross multiply
    538,124.49x = 807,286.13 × 222,606
  4. Step 4: Simplify right side
    538,124.49x = 179,706,735,141.75
  5. Step 5: Solve for x
    x = 179,706,735,141.75/538,124.49
  6. Step 6: Final answer
    x = 333,950.11

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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.