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Finding the Fourth Proportional to 457,682.80, 686,524.20 and 414,137.20

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Solution

The fourth proportional to 457,682.80, 686,524.20 and 414,137.20 is: 621,205.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,682.80 : 686,524.20 = 414,137.20 : x
  2. Step 2: Convert to fraction form
    457,682.80/686,524.20 = 414,137.20/x
  3. Step 3: Cross multiply
    457,682.80x = 686,524.20 × 414,137.20
  4. Step 4: Simplify right side
    457,682.80x = 284,315,209,920.24
  5. Step 5: Solve for x
    x = 284,315,209,920.24/457,682.80
  6. Step 6: Final answer
    x = 621,205.80

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