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Finding the Fourth Proportional to 463,164.35, 639,194.96 and 259,211.10

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Solution

The fourth proportional to 463,164.35, 639,194.96 and 259,211.10 is: 357,727.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,164.35 : 639,194.96 = 259,211.10 : x
  2. Step 2: Convert to fraction form
    463,164.35/639,194.96 = 259,211.10/x
  3. Step 3: Cross multiply
    463,164.35x = 639,194.96 × 259,211.10
  4. Step 4: Simplify right side
    463,164.35x = 165,686,431,741.07
  5. Step 5: Solve for x
    x = 165,686,431,741.07/463,164.35
  6. Step 6: Final answer
    x = 357,727.09

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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.