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Finding the Fourth Proportional to 422,192.16, 582,624.84 and 231,209.28

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Solution

The fourth proportional to 422,192.16, 582,624.84 and 231,209.28 is: 319,068.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,192.16 : 582,624.84 = 231,209.28 : x
  2. Step 2: Convert to fraction form
    422,192.16/582,624.84 = 231,209.28/x
  3. Step 3: Cross multiply
    422,192.16x = 582,624.84 × 231,209.28
  4. Step 4: Simplify right side
    422,192.16x = 134,708,269,766.52
  5. Step 5: Solve for x
    x = 134,708,269,766.52/422,192.16
  6. Step 6: Final answer
    x = 319,068.62

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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.