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Finding the Fourth Proportional to 285,175.86, 393,515.70 and 170,431.68

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Solution

The fourth proportional to 285,175.86, 393,515.70 and 170,431.68 is: 235,179.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,175.86 : 393,515.70 = 170,431.68 : x
  2. Step 2: Convert to fraction form
    285,175.86/393,515.70 = 170,431.68/x
  3. Step 3: Cross multiply
    285,175.86x = 393,515.70 × 170,431.68
  4. Step 4: Simplify right side
    285,175.86x = 67,067,541,857.38
  5. Step 5: Solve for x
    x = 67,067,541,857.38/285,175.86
  6. Step 6: Final answer
    x = 235,179.59

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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.