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Finding the Fourth Proportional to 294,031.97, 405,739.73 and 164,952.79

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Solution

The fourth proportional to 294,031.97, 405,739.73 and 164,952.79 is: 227,621.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,031.97 : 405,739.73 = 164,952.79 : x
  2. Step 2: Convert to fraction form
    294,031.97/405,739.73 = 164,952.79/x
  3. Step 3: Cross multiply
    294,031.97x = 405,739.73 × 164,952.79
  4. Step 4: Simplify right side
    294,031.97x = 66,927,899,652.58
  5. Step 5: Solve for x
    x = 66,927,899,652.58/294,031.97
  6. Step 6: Final answer
    x = 227,621.17

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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.