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Finding the Fourth Proportional to 285,396.12, 393,849.54 and 172,197

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Solution

The fourth proportional to 285,396.12, 393,849.54 and 172,197 is: 237,633.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,396.12 : 393,849.54 = 172,197 : x
  2. Step 2: Convert to fraction form
    285,396.12/393,849.54 = 172,197/x
  3. Step 3: Cross multiply
    285,396.12x = 393,849.54 × 172,197
  4. Step 4: Simplify right side
    285,396.12x = 67,819,709,239.38
  5. Step 5: Solve for x
    x = 67,819,709,239.38/285,396.12
  6. Step 6: Final answer
    x = 237,633.61

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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.