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Finding the Fourth Proportional to 422,406.30, 633,609.45 and 394,412.70

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Solution

The fourth proportional to 422,406.30, 633,609.45 and 394,412.70 is: 591,619.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,406.30 : 633,609.45 = 394,412.70 : x
  2. Step 2: Convert to fraction form
    422,406.30/633,609.45 = 394,412.70/x
  3. Step 3: Cross multiply
    422,406.30x = 633,609.45 × 394,412.70
  4. Step 4: Simplify right side
    422,406.30x = 249,903,613,920.02
  5. Step 5: Solve for x
    x = 249,903,613,920.02/422,406.30
  6. Step 6: Final answer
    x = 591,619.05

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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.