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Finding the Fourth Proportional to 422,576.64, 582,819.84 and 359,124.48

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Solution

The fourth proportional to 422,576.64, 582,819.84 and 359,124.48 is: 495,306.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,576.64 : 582,819.84 = 359,124.48 : x
  2. Step 2: Convert to fraction form
    422,576.64/582,819.84 = 359,124.48/x
  3. Step 3: Cross multiply
    422,576.64x = 582,819.84 × 359,124.48
  4. Step 4: Simplify right side
    422,576.64x = 209,304,871,973.68
  5. Step 5: Solve for x
    x = 209,304,871,973.68/422,576.64
  6. Step 6: Final answer
    x = 495,306.30

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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.