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Finding the Fourth Proportional to 293,096.20, 404,480 and 164,033.64

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Solution

The fourth proportional to 293,096.20, 404,480 and 164,033.64 is: 226,370.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,096.20 : 404,480 = 164,033.64 : x
  2. Step 2: Convert to fraction form
    293,096.20/404,480 = 164,033.64/x
  3. Step 3: Cross multiply
    293,096.20x = 404,480 × 164,033.64
  4. Step 4: Simplify right side
    293,096.20x = 66,348,326,707.20
  5. Step 5: Solve for x
    x = 66,348,326,707.20/293,096.20
  6. Step 6: Final answer
    x = 226,370.48

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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.