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Finding the Fourth Proportional to 294,006.14, 405,679.29 and 173,171.49

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Solution

The fourth proportional to 294,006.14, 405,679.29 and 173,171.49 is: 238,947.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,006.14 : 405,679.29 = 173,171.49 : x
  2. Step 2: Convert to fraction form
    294,006.14/405,679.29 = 173,171.49/x
  3. Step 3: Cross multiply
    294,006.14x = 405,679.29 × 173,171.49
  4. Step 4: Simplify right side
    294,006.14x = 70,252,087,111.44
  5. Step 5: Solve for x
    x = 70,252,087,111.44/294,006.14
  6. Step 6: Final answer
    x = 238,947.69

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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.