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Finding the Fourth Proportional to 294,031.72, 405,739.38 and 164,952.54

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Solution

The fourth proportional to 294,031.72, 405,739.38 and 164,952.54 is: 227,620.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,031.72 : 405,739.38 = 164,952.54 : x
  2. Step 2: Convert to fraction form
    294,031.72/405,739.38 = 164,952.54/x
  3. Step 3: Cross multiply
    294,031.72x = 405,739.38 × 164,952.54
  4. Step 4: Simplify right side
    294,031.72x = 66,927,741,309.03
  5. Step 5: Solve for x
    x = 66,927,741,309.03/294,031.72
  6. Step 6: Final answer
    x = 227,620.82

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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.