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Finding the Fourth Proportional to 362,452, 500,183.76 and 203,476

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Solution

The fourth proportional to 362,452, 500,183.76 and 203,476 is: 280,796.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,452 : 500,183.76 = 203,476 : x
  2. Step 2: Convert to fraction form
    362,452/500,183.76 = 203,476/x
  3. Step 3: Cross multiply
    362,452x = 500,183.76 × 203,476
  4. Step 4: Simplify right side
    362,452x = 101,775,390,749.76
  5. Step 5: Solve for x
    x = 101,775,390,749.76/362,452
  6. Step 6: Final answer
    x = 280,796.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.