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Finding the Fourth Proportional to 422,376.90, 582,894.70 and 231,390.24

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Solution

The fourth proportional to 422,376.90, 582,894.70 and 231,390.24 is: 319,326.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,376.90 : 582,894.70 = 231,390.24 : x
  2. Step 2: Convert to fraction form
    422,376.90/582,894.70 = 231,390.24/x
  3. Step 3: Cross multiply
    422,376.90x = 582,894.70 × 231,390.24
  4. Step 4: Simplify right side
    422,376.90x = 134,876,144,527.73
  5. Step 5: Solve for x
    x = 134,876,144,527.73/422,376.90
  6. Step 6: Final answer
    x = 319,326.52

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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.