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Finding the Fourth Proportional to 422,524.80, 634,132.80 and 408,700.80

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Solution

The fourth proportional to 422,524.80, 634,132.80 and 408,700.80 is: 613,385.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,524.80 : 634,132.80 = 408,700.80 : x
  2. Step 2: Convert to fraction form
    422,524.80/634,132.80 = 408,700.80/x
  3. Step 3: Cross multiply
    422,524.80x = 634,132.80 × 408,700.80
  4. Step 4: Simplify right side
    422,524.80x = 259,170,582,666.24
  5. Step 5: Solve for x
    x = 259,170,582,666.24/422,524.80
  6. Step 6: Final answer
    x = 613,385.49

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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.