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Finding the Fourth Proportional to 361,459.64, 498,791.64 and 200,305.28

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Solution

The fourth proportional to 361,459.64, 498,791.64 and 200,305.28 is: 276,408.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,459.64 : 498,791.64 = 200,305.28 : x
  2. Step 2: Convert to fraction form
    361,459.64/498,791.64 = 200,305.28/x
  3. Step 3: Cross multiply
    361,459.64x = 498,791.64 × 200,305.28
  4. Step 4: Simplify right side
    361,459.64x = 99,910,599,111.86
  5. Step 5: Solve for x
    x = 99,910,599,111.86/361,459.64
  6. Step 6: Final answer
    x = 276,408.73

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1.5x scale

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.