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Finding the Fourth Proportional to 273,942.14, 411,005.52 and 172,622.53

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Solution

The fourth proportional to 273,942.14, 411,005.52 and 172,622.53 is: 258,991.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,942.14 : 411,005.52 = 172,622.53 : x
  2. Step 2: Convert to fraction form
    273,942.14/411,005.52 = 172,622.53/x
  3. Step 3: Cross multiply
    273,942.14x = 411,005.52 × 172,622.53
  4. Step 4: Simplify right side
    273,942.14x = 70,948,812,706.37
  5. Step 5: Solve for x
    x = 70,948,812,706.37/273,942.14
  6. Step 6: Final answer
    x = 258,991.96

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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.