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Finding the Fourth Proportional to 463,074.72, 638,902.08 and 259,104.48

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Solution

The fourth proportional to 463,074.72, 638,902.08 and 259,104.48 is: 357,485.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,074.72 : 638,902.08 = 259,104.48 : x
  2. Step 2: Convert to fraction form
    463,074.72/638,902.08 = 259,104.48/x
  3. Step 3: Cross multiply
    463,074.72x = 638,902.08 × 259,104.48
  4. Step 4: Simplify right side
    463,074.72x = 165,542,391,209.32
  5. Step 5: Solve for x
    x = 165,542,391,209.32/463,074.72
  6. Step 6: Final answer
    x = 357,485.27

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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.