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Finding the Fourth Proportional to 392,443.20, 588,664.80 and 281,851.20

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Solution

The fourth proportional to 392,443.20, 588,664.80 and 281,851.20 is: 422,776.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,443.20 : 588,664.80 = 281,851.20 : x
  2. Step 2: Convert to fraction form
    392,443.20/588,664.80 = 281,851.20/x
  3. Step 3: Cross multiply
    392,443.20x = 588,664.80 × 281,851.20
  4. Step 4: Simplify right side
    392,443.20x = 165,915,880,277.76
  5. Step 5: Solve for x
    x = 165,915,880,277.76/392,443.20
  6. Step 6: Final answer
    x = 422,776.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.