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Finding the Fourth Proportional to 361,178.36, 498,430.38 and 200,036.56

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Solution

The fourth proportional to 361,178.36, 498,430.38 and 200,036.56 is: 276,052.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,178.36 : 498,430.38 = 200,036.56 : x
  2. Step 2: Convert to fraction form
    361,178.36/498,430.38 = 200,036.56/x
  3. Step 3: Cross multiply
    361,178.36x = 498,430.38 × 200,036.56
  4. Step 4: Simplify right side
    361,178.36x = 99,704,298,614.69
  5. Step 5: Solve for x
    x = 99,704,298,614.69/361,178.36
  6. Step 6: Final answer
    x = 276,052.80

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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.