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Finding the Fourth Proportional to 422,170.70, 582,595.86 and 231,184.13

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Solution

The fourth proportional to 422,170.70, 582,595.86 and 231,184.13 is: 319,034.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,170.70 : 582,595.86 = 231,184.13 : x
  2. Step 2: Convert to fraction form
    422,170.70/582,595.86 = 231,184.13/x
  3. Step 3: Cross multiply
    422,170.70x = 582,595.86 × 231,184.13
  4. Step 4: Simplify right side
    422,170.70x = 134,686,917,035.70
  5. Step 5: Solve for x
    x = 134,686,917,035.70/422,170.70
  6. Step 6: Final answer
    x = 319,034.26

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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.