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Finding the Fourth Proportional to 361,520.93, 498,928.74 and 200,426.51

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Solution

The fourth proportional to 361,520.93, 498,928.74 and 200,426.51 is: 276,605.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,520.93 : 498,928.74 = 200,426.51 : x
  2. Step 2: Convert to fraction form
    361,520.93/498,928.74 = 200,426.51/x
  3. Step 3: Cross multiply
    361,520.93x = 498,928.74 × 200,426.51
  4. Step 4: Simplify right side
    361,520.93x = 99,998,546,096.90
  5. Step 5: Solve for x
    x = 99,998,546,096.90/361,520.93
  6. Step 6: Final answer
    x = 276,605.14

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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.