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Finding the Fourth Proportional to 362,523.42, 543,840.45 and 184,933.54

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Solution

The fourth proportional to 362,523.42, 543,840.45 and 184,933.54 is: 277,428.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,523.42 : 543,840.45 = 184,933.54 : x
  2. Step 2: Convert to fraction form
    362,523.42/543,840.45 = 184,933.54/x
  3. Step 3: Cross multiply
    362,523.42x = 543,840.45 × 184,933.54
  4. Step 4: Simplify right side
    362,523.42x = 100,574,339,613.69
  5. Step 5: Solve for x
    x = 100,574,339,613.69/362,523.42
  6. Step 6: Final answer
    x = 277,428.53

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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.