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Finding the Fourth Proportional to 455,462.55, 682,736.61 and 155,738.16

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Solution

The fourth proportional to 455,462.55, 682,736.61 and 155,738.16 is: 233,450.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,462.55 : 682,736.61 = 155,738.16 : x
  2. Step 2: Convert to fraction form
    455,462.55/682,736.61 = 155,738.16/x
  3. Step 3: Cross multiply
    455,462.55x = 682,736.61 × 155,738.16
  4. Step 4: Simplify right side
    455,462.55x = 106,328,143,406.04
  5. Step 5: Solve for x
    x = 106,328,143,406.04/455,462.55
  6. Step 6: Final answer
    x = 233,450.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.