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Finding the Fourth Proportional to 442,888.64, 663,334.16 and 205,732.26

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Solution

The fourth proportional to 442,888.64, 663,334.16 and 205,732.26 is: 308,134.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,888.64 : 663,334.16 = 205,732.26 : x
  2. Step 2: Convert to fraction form
    442,888.64/663,334.16 = 205,732.26/x
  3. Step 3: Cross multiply
    442,888.64x = 663,334.16 × 205,732.26
  4. Step 4: Simplify right side
    442,888.64x = 136,469,235,872.00
  5. Step 5: Solve for x
    x = 136,469,235,872.00/442,888.64
  6. Step 6: Final answer
    x = 308,134.42

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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.