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Finding the Fourth Proportional to 463,042.62, 638,953.65 and 259,081.38

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Solution

The fourth proportional to 463,042.62, 638,953.65 and 259,081.38 is: 357,507.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,042.62 : 638,953.65 = 259,081.38 : x
  2. Step 2: Convert to fraction form
    463,042.62/638,953.65 = 259,081.38/x
  3. Step 3: Cross multiply
    463,042.62x = 638,953.65 × 259,081.38
  4. Step 4: Simplify right side
    463,042.62x = 165,540,993,398.04
  5. Step 5: Solve for x
    x = 165,540,993,398.04/463,042.62
  6. Step 6: Final answer
    x = 357,507.03

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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.