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Finding the Fourth Proportional to 424,170, 585,358.20 and 233,179.20

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Solution

The fourth proportional to 424,170, 585,358.20 and 233,179.20 is: 321,789.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,170 : 585,358.20 = 233,179.20 : x
  2. Step 2: Convert to fraction form
    424,170/585,358.20 = 233,179.20/x
  3. Step 3: Cross multiply
    424,170x = 585,358.20 × 233,179.20
  4. Step 4: Simplify right side
    424,170x = 136,493,356,789.44
  5. Step 5: Solve for x
    x = 136,493,356,789.44/424,170
  6. Step 6: Final answer
    x = 321,789.28

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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.