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Finding the Fourth Proportional to 422,339.27, 582,559.70 and 277,154.46

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Solution

The fourth proportional to 422,339.27, 582,559.70 and 277,154.46 is: 382,296.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,339.27 : 582,559.70 = 277,154.46 : x
  2. Step 2: Convert to fraction form
    422,339.27/582,559.70 = 277,154.46/x
  3. Step 3: Cross multiply
    422,339.27x = 582,559.70 × 277,154.46
  4. Step 4: Simplify right side
    422,339.27x = 161,459,017,685.49
  5. Step 5: Solve for x
    x = 161,459,017,685.49/422,339.27
  6. Step 6: Final answer
    x = 382,296.96

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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.