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Finding the Fourth Proportional to 412,381.26, 618,433.52 and 184,534.11

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Solution

The fourth proportional to 412,381.26, 618,433.52 and 184,534.11 is: 276,739.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,381.26 : 618,433.52 = 184,534.11 : x
  2. Step 2: Convert to fraction form
    412,381.26/618,433.52 = 184,534.11/x
  3. Step 3: Cross multiply
    412,381.26x = 618,433.52 × 184,534.11
  4. Step 4: Simplify right side
    412,381.26x = 114,122,078,284.70
  5. Step 5: Solve for x
    x = 114,122,078,284.70/412,381.26
  6. Step 6: Final answer
    x = 276,739.24

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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.