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Finding the Fourth Proportional to 361,357.56, 498,677.40 and 200,215.17

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Solution

The fourth proportional to 361,357.56, 498,677.40 and 200,215.17 is: 276,299.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,357.56 : 498,677.40 = 200,215.17 : x
  2. Step 2: Convert to fraction form
    361,357.56/498,677.40 = 200,215.17/x
  3. Step 3: Cross multiply
    361,357.56x = 498,677.40 × 200,215.17
  4. Step 4: Simplify right side
    361,357.56x = 99,842,780,416.16
  5. Step 5: Solve for x
    x = 99,842,780,416.16/361,357.56
  6. Step 6: Final answer
    x = 276,299.13

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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.