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Finding the Fourth Proportional to 361,200.14, 498,459.93 and 217,932.50

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Solution

The fourth proportional to 361,200.14, 498,459.93 and 217,932.50 is: 300,749.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,200.14 : 498,459.93 = 217,932.50 : x
  2. Step 2: Convert to fraction form
    361,200.14/498,459.93 = 217,932.50/x
  3. Step 3: Cross multiply
    361,200.14x = 498,459.93 × 217,932.50
  4. Step 4: Simplify right side
    361,200.14x = 108,630,618,694.73
  5. Step 5: Solve for x
    x = 108,630,618,694.73/361,200.14
  6. Step 6: Final answer
    x = 300,749.10

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