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Finding the Fourth Proportional to 682,310.64, 1,023,028 and 283,226.88

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Solution

The fourth proportional to 682,310.64, 1,023,028 and 283,226.88 is: 424,658.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,310.64 : 1,023,028 = 283,226.88 : x
  2. Step 2: Convert to fraction form
    682,310.64/1,023,028 = 283,226.88/x
  3. Step 3: Cross multiply
    682,310.64x = 1,023,028 × 283,226.88
  4. Step 4: Simplify right side
    682,310.64x = 289,749,028,592.64
  5. Step 5: Solve for x
    x = 289,749,028,592.64/682,310.64
  6. Step 6: Final answer
    x = 424,658.52

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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.