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Finding the Fourth Proportional to 293,363.63, 404,808.31 and 164,284.16

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Solution

The fourth proportional to 293,363.63, 404,808.31 and 164,284.16 is: 226,693.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,363.63 : 404,808.31 = 164,284.16 : x
  2. Step 2: Convert to fraction form
    293,363.63/404,808.31 = 164,284.16/x
  3. Step 3: Cross multiply
    293,363.63x = 404,808.31 × 164,284.16
  4. Step 4: Simplify right side
    293,363.63x = 66,503,593,169.37
  5. Step 5: Solve for x
    x = 66,503,593,169.37/293,363.63
  6. Step 6: Final answer
    x = 226,693.38

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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.