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Finding the Fourth Proportional to 463,497.12, 639,573.17 and 259,519.68

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Solution

The fourth proportional to 463,497.12, 639,573.17 and 259,519.68 is: 358,107.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,497.12 : 639,573.17 = 259,519.68 : x
  2. Step 2: Convert to fraction form
    463,497.12/639,573.17 = 259,519.68/x
  3. Step 3: Cross multiply
    463,497.12x = 639,573.17 × 259,519.68
  4. Step 4: Simplify right side
    463,497.12x = 165,981,823,117.39
  5. Step 5: Solve for x
    x = 165,981,823,117.39/463,497.12
  6. Step 6: Final answer
    x = 358,107.56

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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.