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Finding the Fourth Proportional to 420,293.50, 629,884.74 and 153,797.44

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Solution

The fourth proportional to 420,293.50, 629,884.74 and 153,797.44 is: 230,492.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,293.50 : 629,884.74 = 153,797.44 : x
  2. Step 2: Convert to fraction form
    420,293.50/629,884.74 = 153,797.44/x
  3. Step 3: Cross multiply
    420,293.50x = 629,884.74 × 153,797.44
  4. Step 4: Simplify right side
    420,293.50x = 96,874,660,507.07
  5. Step 5: Solve for x
    x = 96,874,660,507.07/420,293.50
  6. Step 6: Final answer
    x = 230,492.88

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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.