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Finding the Fourth Proportional to 419,527.10, 629,509.35 and 182,893.70

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Solution

The fourth proportional to 419,527.10, 629,509.35 and 182,893.70 is: 274,435.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,527.10 : 629,509.35 = 182,893.70 : x
  2. Step 2: Convert to fraction form
    419,527.10/629,509.35 = 182,893.70/x
  3. Step 3: Cross multiply
    419,527.10x = 629,509.35 × 182,893.70
  4. Step 4: Simplify right side
    419,527.10x = 115,133,294,206.10
  5. Step 5: Solve for x
    x = 115,133,294,206.10/419,527.10
  6. Step 6: Final answer
    x = 274,435.89

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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.