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Finding the Fourth Proportional to 293,508.84, 405,053.81 and 164,448.43

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Solution

The fourth proportional to 293,508.84, 405,053.81 and 164,448.43 is: 226,945.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,508.84 : 405,053.81 = 164,448.43 : x
  2. Step 2: Convert to fraction form
    293,508.84/405,053.81 = 164,448.43/x
  3. Step 3: Cross multiply
    293,508.84x = 405,053.81 × 164,448.43
  4. Step 4: Simplify right side
    293,508.84x = 66,610,462,826.85
  5. Step 5: Solve for x
    x = 66,610,462,826.85/293,508.84
  6. Step 6: Final answer
    x = 226,945.34

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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.