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Finding the Fourth Proportional to 389,938.37, 538,022.71 and 226,497.76

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Solution

The fourth proportional to 389,938.37, 538,022.71 and 226,497.76 is: 312,513.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,938.37 : 538,022.71 = 226,497.76 : x
  2. Step 2: Convert to fraction form
    389,938.37/538,022.71 = 226,497.76/x
  3. Step 3: Cross multiply
    389,938.37x = 538,022.71 × 226,497.76
  4. Step 4: Simplify right side
    389,938.37x = 121,860,936,732.83
  5. Step 5: Solve for x
    x = 121,860,936,732.83/389,938.37
  6. Step 6: Final answer
    x = 312,513.33

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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.