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Finding the Fourth Proportional to 361,489.37, 498,841.74 and 200,347.16

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Solution

The fourth proportional to 361,489.37, 498,841.74 and 200,347.16 is: 276,471.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,489.37 : 498,841.74 = 200,347.16 : x
  2. Step 2: Convert to fraction form
    361,489.37/498,841.74 = 200,347.16/x
  3. Step 3: Cross multiply
    361,489.37x = 498,841.74 × 200,347.16
  4. Step 4: Simplify right side
    361,489.37x = 99,941,523,404.25
  5. Step 5: Solve for x
    x = 99,941,523,404.25/361,489.37
  6. Step 6: Final answer
    x = 276,471.55

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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.