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Finding the Fourth Proportional to 361,204.56, 498,518.28 and 206,155.98

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Solution

The fourth proportional to 361,204.56, 498,518.28 and 206,155.98 is: 284,527.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,204.56 : 498,518.28 = 206,155.98 : x
  2. Step 2: Convert to fraction form
    361,204.56/498,518.28 = 206,155.98/x
  3. Step 3: Cross multiply
    361,204.56x = 498,518.28 × 206,155.98
  4. Step 4: Simplify right side
    361,204.56x = 102,772,524,561.31
  5. Step 5: Solve for x
    x = 102,772,524,561.31/361,204.56
  6. Step 6: Final answer
    x = 284,527.21

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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.