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Finding the Fourth Proportional to 294,017.65, 405,736.49 and 164,945.31

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Solution

The fourth proportional to 294,017.65, 405,736.49 and 164,945.31 is: 227,620.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,017.65 : 405,736.49 = 164,945.31 : x
  2. Step 2: Convert to fraction form
    294,017.65/405,736.49 = 164,945.31/x
  3. Step 3: Cross multiply
    294,017.65x = 405,736.49 × 164,945.31
  4. Step 4: Simplify right side
    294,017.65x = 66,924,332,294.48
  5. Step 5: Solve for x
    x = 66,924,332,294.48/294,017.65
  6. Step 6: Final answer
    x = 227,620.12

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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.