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Finding the Fourth Proportional to 361,443.53, 498,794.86 and 200,301.19

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Solution

The fourth proportional to 361,443.53, 498,794.86 and 200,301.19 is: 276,417.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,443.53 : 498,794.86 = 200,301.19 : x
  2. Step 2: Convert to fraction form
    361,443.53/498,794.86 = 200,301.19/x
  3. Step 3: Cross multiply
    361,443.53x = 498,794.86 × 200,301.19
  4. Step 4: Simplify right side
    361,443.53x = 99,909,203,027.27
  5. Step 5: Solve for x
    x = 99,909,203,027.27/361,443.53
  6. Step 6: Final answer
    x = 276,417.18

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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.