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Finding the Fourth Proportional to 293,200.38, 404,546.70 and 178,477.80

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Solution

The fourth proportional to 293,200.38, 404,546.70 and 178,477.80 is: 246,256.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,200.38 : 404,546.70 = 178,477.80 : x
  2. Step 2: Convert to fraction form
    293,200.38/404,546.70 = 178,477.80/x
  3. Step 3: Cross multiply
    293,200.38x = 404,546.70 × 178,477.80
  4. Step 4: Simplify right side
    293,200.38x = 72,202,605,013.26
  5. Step 5: Solve for x
    x = 72,202,605,013.26/293,200.38
  6. Step 6: Final answer
    x = 246,256.86

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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.