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Finding the Fourth Proportional to 293,470.38, 404,994.36 and 164,407.68

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Solution

The fourth proportional to 293,470.38, 404,994.36 and 164,407.68 is: 226,885.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,470.38 : 404,994.36 = 164,407.68 : x
  2. Step 2: Convert to fraction form
    293,470.38/404,994.36 = 164,407.68/x
  3. Step 3: Cross multiply
    293,470.38x = 404,994.36 × 164,407.68
  4. Step 4: Simplify right side
    293,470.38x = 66,584,183,140.68
  5. Step 5: Solve for x
    x = 66,584,183,140.68/293,470.38
  6. Step 6: Final answer
    x = 226,885.53

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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.