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Finding the Fourth Proportional to 291,793.66, 402,678.31 and 164,469.25

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Solution

The fourth proportional to 291,793.66, 402,678.31 and 164,469.25 is: 226,969.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,793.66 : 402,678.31 = 164,469.25 : x
  2. Step 2: Convert to fraction form
    291,793.66/402,678.31 = 164,469.25/x
  3. Step 3: Cross multiply
    291,793.66x = 402,678.31 × 164,469.25
  4. Step 4: Simplify right side
    291,793.66x = 66,228,199,636.97
  5. Step 5: Solve for x
    x = 66,228,199,636.97/291,793.66
  6. Step 6: Final answer
    x = 226,969.29

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1.5x scale

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.