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Finding the Fourth Proportional to 442,859.44, 663,893.56 and 172,924.78

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Solution

The fourth proportional to 442,859.44, 663,893.56 and 172,924.78 is: 259,232.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,859.44 : 663,893.56 = 172,924.78 : x
  2. Step 2: Convert to fraction form
    442,859.44/663,893.56 = 172,924.78/x
  3. Step 3: Cross multiply
    442,859.44x = 663,893.56 × 172,924.78
  4. Step 4: Simplify right side
    442,859.44x = 114,803,645,179.31
  5. Step 5: Solve for x
    x = 114,803,645,179.31/442,859.44
  6. Step 6: Final answer
    x = 259,232.69

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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.