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Finding the Fourth Proportional to 422,434.84, 582,960 and 252,708.88

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Solution

The fourth proportional to 422,434.84, 582,960 and 252,708.88 is: 348,738.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,434.84 : 582,960 = 252,708.88 : x
  2. Step 2: Convert to fraction form
    422,434.84/582,960 = 252,708.88/x
  3. Step 3: Cross multiply
    422,434.84x = 582,960 × 252,708.88
  4. Step 4: Simplify right side
    422,434.84x = 147,319,168,684.80
  5. Step 5: Solve for x
    x = 147,319,168,684.80/422,434.84
  6. Step 6: Final answer
    x = 348,738.21

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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.