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Finding the Fourth Proportional to 361,199.77, 498,459.41 and 217,932.13

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Solution

The fourth proportional to 361,199.77, 498,459.41 and 217,932.13 is: 300,748.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,199.77 : 498,459.41 = 217,932.13 : x
  2. Step 2: Convert to fraction form
    361,199.77/498,459.41 = 217,932.13/x
  3. Step 3: Cross multiply
    361,199.77x = 498,459.41 × 217,932.13
  4. Step 4: Simplify right side
    361,199.77x = 108,630,320,939.84
  5. Step 5: Solve for x
    x = 108,630,320,939.84/361,199.77
  6. Step 6: Final answer
    x = 300,748.59

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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.