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Finding the Fourth Proportional to 275,294.92, 412,893.16 and 175,157.65

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Solution

The fourth proportional to 275,294.92, 412,893.16 and 175,157.65 is: 262,705.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,294.92 : 412,893.16 = 175,157.65 : x
  2. Step 2: Convert to fraction form
    275,294.92/412,893.16 = 175,157.65/x
  3. Step 3: Cross multiply
    275,294.92x = 412,893.16 × 175,157.65
  4. Step 4: Simplify right side
    275,294.92x = 72,321,396,511.84
  5. Step 5: Solve for x
    x = 72,321,396,511.84/275,294.92
  6. Step 6: Final answer
    x = 262,705.17

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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.