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Finding the Fourth Proportional to 312,523.96, 468,596.94 and 122,757.16

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Solution

The fourth proportional to 312,523.96, 468,596.94 and 122,757.16 is: 184,061.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,523.96 : 468,596.94 = 122,757.16 : x
  2. Step 2: Convert to fraction form
    312,523.96/468,596.94 = 122,757.16/x
  3. Step 3: Cross multiply
    312,523.96x = 468,596.94 × 122,757.16
  4. Step 4: Simplify right side
    312,523.96x = 57,523,629,539.09
  5. Step 5: Solve for x
    x = 57,523,629,539.09/312,523.96
  6. Step 6: Final answer
    x = 184,061.50

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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.