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Finding the Fourth Proportional to 322,858.53, 484,304.21 and 109,651.54

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Solution

The fourth proportional to 322,858.53, 484,304.21 and 109,651.54 is: 164,482.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,858.53 : 484,304.21 = 109,651.54 : x
  2. Step 2: Convert to fraction form
    322,858.53/484,304.21 = 109,651.54/x
  3. Step 3: Cross multiply
    322,858.53x = 484,304.21 × 109,651.54
  4. Step 4: Simplify right side
    322,858.53x = 53,104,702,454.98
  5. Step 5: Solve for x
    x = 53,104,702,454.98/322,858.53
  6. Step 6: Final answer
    x = 164,482.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.