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Finding the Fourth Proportional to 294,243.69, 406,044 and 166,943.28

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Solution

The fourth proportional to 294,243.69, 406,044 and 166,943.28 is: 230,374.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,243.69 : 406,044 = 166,943.28 : x
  2. Step 2: Convert to fraction form
    294,243.69/406,044 = 166,943.28/x
  3. Step 3: Cross multiply
    294,243.69x = 406,044 × 166,943.28
  4. Step 4: Simplify right side
    294,243.69x = 67,786,317,184.32
  5. Step 5: Solve for x
    x = 67,786,317,184.32/294,243.69
  6. Step 6: Final answer
    x = 230,374.75

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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.