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Finding the Fourth Proportional to 576,230.60, 863,568.30 and 409,824.20

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Solution

The fourth proportional to 576,230.60, 863,568.30 and 409,824.20 is: 614,183.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,230.60 : 863,568.30 = 409,824.20 : x
  2. Step 2: Convert to fraction form
    576,230.60/863,568.30 = 409,824.20/x
  3. Step 3: Cross multiply
    576,230.60x = 863,568.30 × 409,824.20
  4. Step 4: Simplify right side
    576,230.60x = 353,911,187,692.86
  5. Step 5: Solve for x
    x = 353,911,187,692.86/576,230.60
  6. Step 6: Final answer
    x = 614,183.26

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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.