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Finding the Fourth Proportional to 361,176.37, 498,427.63 and 200,034.56

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Solution

The fourth proportional to 361,176.37, 498,427.63 and 200,034.56 is: 276,050.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,176.37 : 498,427.63 = 200,034.56 : x
  2. Step 2: Convert to fraction form
    361,176.37/498,427.63 = 200,034.56/x
  3. Step 3: Cross multiply
    361,176.37x = 498,427.63 × 200,034.56
  4. Step 4: Simplify right side
    361,176.37x = 99,702,752,404.88
  5. Step 5: Solve for x
    x = 99,702,752,404.88/361,176.37
  6. Step 6: Final answer
    x = 276,050.04

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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.