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Finding the Fourth Proportional to 463,141.66, 639,169.89 and 259,213.06

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Solution

The fourth proportional to 463,141.66, 639,169.89 and 259,213.06 is: 357,733.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,141.66 : 639,169.89 = 259,213.06 : x
  2. Step 2: Convert to fraction form
    463,141.66/639,169.89 = 259,213.06/x
  3. Step 3: Cross multiply
    463,141.66x = 639,169.89 × 259,213.06
  4. Step 4: Simplify right side
    463,141.66x = 165,681,183,046.76
  5. Step 5: Solve for x
    x = 165,681,183,046.76/463,141.66
  6. Step 6: Final answer
    x = 357,733.28

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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.