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Finding the Fourth Proportional to 294,233.62, 406,030.44 and 166,906.48

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Solution

The fourth proportional to 294,233.62, 406,030.44 and 166,906.48 is: 230,324.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,233.62 : 406,030.44 = 166,906.48 : x
  2. Step 2: Convert to fraction form
    294,233.62/406,030.44 = 166,906.48/x
  3. Step 3: Cross multiply
    294,233.62x = 406,030.44 × 166,906.48
  4. Step 4: Simplify right side
    294,233.62x = 67,769,111,513.25
  5. Step 5: Solve for x
    x = 67,769,111,513.25/294,233.62
  6. Step 6: Final answer
    x = 230,324.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.