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Finding the Fourth Proportional to 420,426.45, 629,163.45 and 287,566.20

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Solution

The fourth proportional to 420,426.45, 629,163.45 and 287,566.20 is: 430,339.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,426.45 : 629,163.45 = 287,566.20 : x
  2. Step 2: Convert to fraction form
    420,426.45/629,163.45 = 287,566.20/x
  3. Step 3: Cross multiply
    420,426.45x = 629,163.45 × 287,566.20
  4. Step 4: Simplify right side
    420,426.45x = 180,926,142,495.39
  5. Step 5: Solve for x
    x = 180,926,142,495.39/420,426.45
  6. Step 6: Final answer
    x = 430,339.58

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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.