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Finding the Fourth Proportional to 293,664, 405,221.94 and 172,778.70

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Solution

The fourth proportional to 293,664, 405,221.94 and 172,778.70 is: 238,414.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,664 : 405,221.94 = 172,778.70 : x
  2. Step 2: Convert to fraction form
    293,664/405,221.94 = 172,778.70/x
  3. Step 3: Cross multiply
    293,664x = 405,221.94 × 172,778.70
  4. Step 4: Simplify right side
    293,664x = 70,013,720,004.68
  5. Step 5: Solve for x
    x = 70,013,720,004.68/293,664
  6. Step 6: Final answer
    x = 238,414.38

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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.