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Finding the Fourth Proportional to 422,053.47, 582,435.50 and 231,084.63

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Solution

The fourth proportional to 422,053.47, 582,435.50 and 231,084.63 is: 318,897.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,053.47 : 582,435.50 = 231,084.63 : x
  2. Step 2: Convert to fraction form
    422,053.47/582,435.50 = 231,084.63/x
  3. Step 3: Cross multiply
    422,053.47x = 582,435.50 × 231,084.63
  4. Step 4: Simplify right side
    422,053.47x = 134,591,892,016.37
  5. Step 5: Solve for x
    x = 134,591,892,016.37/422,053.47
  6. Step 6: Final answer
    x = 318,897.73

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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.