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Finding the Fourth Proportional to 309,235.85, 463,957.57 and 167,093.84

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Solution

The fourth proportional to 309,235.85, 463,957.57 and 167,093.84 is: 250,696.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,235.85 : 463,957.57 = 167,093.84 : x
  2. Step 2: Convert to fraction form
    309,235.85/463,957.57 = 167,093.84/x
  3. Step 3: Cross multiply
    309,235.85x = 463,957.57 × 167,093.84
  4. Step 4: Simplify right side
    309,235.85x = 77,524,450,727.37
  5. Step 5: Solve for x
    x = 77,524,450,727.37/309,235.85
  6. Step 6: Final answer
    x = 250,696.84

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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.