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Finding the Fourth Proportional to 422,814.48, 634,154.20 and 123,225

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Solution

The fourth proportional to 422,814.48, 634,154.20 and 123,225 is: 184,817.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,814.48 : 634,154.20 = 123,225 : x
  2. Step 2: Convert to fraction form
    422,814.48/634,154.20 = 123,225/x
  3. Step 3: Cross multiply
    422,814.48x = 634,154.20 × 123,225
  4. Step 4: Simplify right side
    422,814.48x = 78,143,651,295
  5. Step 5: Solve for x
    x = 78,143,651,295/422,814.48
  6. Step 6: Final answer
    x = 184,817.82

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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.