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Finding the Fourth Proportional to 496,385.40, 744,578.10 and 413,716.80

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Solution

The fourth proportional to 496,385.40, 744,578.10 and 413,716.80 is: 620,575.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,385.40 : 744,578.10 = 413,716.80 : x
  2. Step 2: Convert to fraction form
    496,385.40/744,578.10 = 413,716.80/x
  3. Step 3: Cross multiply
    496,385.40x = 744,578.10 × 413,716.80
  4. Step 4: Simplify right side
    496,385.40x = 308,044,468,882.08
  5. Step 5: Solve for x
    x = 308,044,468,882.08/496,385.40
  6. Step 6: Final answer
    x = 620,575.20

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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.