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Finding the Fourth Proportional to 420,912.90, 631,369.35 and 420,912.90

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Solution

The fourth proportional to 420,912.90, 631,369.35 and 420,912.90 is: 631,369.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,912.90 : 631,369.35 = 420,912.90 : x
  2. Step 2: Convert to fraction form
    420,912.90/631,369.35 = 420,912.90/x
  3. Step 3: Cross multiply
    420,912.90x = 631,369.35 × 420,912.90
  4. Step 4: Simplify right side
    420,912.90x = 265,751,504,079.62
  5. Step 5: Solve for x
    x = 265,751,504,079.62/420,912.90
  6. Step 6: Final answer
    x = 631,369.35

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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.