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Finding the Fourth Proportional to 422,410.52, 582,459.54 and 269,206.22

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Solution

The fourth proportional to 422,410.52, 582,459.54 and 269,206.22 is: 371,206.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,410.52 : 582,459.54 = 269,206.22 : x
  2. Step 2: Convert to fraction form
    422,410.52/582,459.54 = 269,206.22/x
  3. Step 3: Cross multiply
    422,410.52x = 582,459.54 × 269,206.22
  4. Step 4: Simplify right side
    422,410.52x = 156,801,731,066.34
  5. Step 5: Solve for x
    x = 156,801,731,066.34/422,410.52
  6. Step 6: Final answer
    x = 371,206.97

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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.