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Finding the Fourth Proportional to 492,067.20, 738,100.80 and 159,643.20

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Solution

The fourth proportional to 492,067.20, 738,100.80 and 159,643.20 is: 239,464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,067.20 : 738,100.80 = 159,643.20 : x
  2. Step 2: Convert to fraction form
    492,067.20/738,100.80 = 159,643.20/x
  3. Step 3: Cross multiply
    492,067.20x = 738,100.80 × 159,643.20
  4. Step 4: Simplify right side
    492,067.20x = 117,832,773,634.56
  5. Step 5: Solve for x
    x = 117,832,773,634.56/492,067.20
  6. Step 6: Final answer
    x = 239,464.80

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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.