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Finding the Fourth Proportional to 291,793.66, 402,678.32 and 164,469.26

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Solution

The fourth proportional to 291,793.66, 402,678.32 and 164,469.26 is: 226,969.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,793.66 : 402,678.32 = 164,469.26 : x
  2. Step 2: Convert to fraction form
    291,793.66/402,678.32 = 164,469.26/x
  3. Step 3: Cross multiply
    291,793.66x = 402,678.32 × 164,469.26
  4. Step 4: Simplify right side
    291,793.66x = 66,228,205,308.44
  5. Step 5: Solve for x
    x = 66,228,205,308.44/291,793.66
  6. Step 6: Final answer
    x = 226,969.31

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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.