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Finding the Fourth Proportional to 296,023.39, 408,419.02 and 181,182.31

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Solution

The fourth proportional to 296,023.39, 408,419.02 and 181,182.31 is: 249,974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,023.39 : 408,419.02 = 181,182.31 : x
  2. Step 2: Convert to fraction form
    296,023.39/408,419.02 = 181,182.31/x
  3. Step 3: Cross multiply
    296,023.39x = 408,419.02 × 181,182.31
  4. Step 4: Simplify right side
    296,023.39x = 73,998,298,996.49
  5. Step 5: Solve for x
    x = 73,998,298,996.49/296,023.39
  6. Step 6: Final answer
    x = 249,974.50

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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.