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Finding the Fourth Proportional to 463,208.05, 639,081.42 and 259,226.56

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Solution

The fourth proportional to 463,208.05, 639,081.42 and 259,226.56 is: 357,651.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,208.05 : 639,081.42 = 259,226.56 : x
  2. Step 2: Convert to fraction form
    463,208.05/639,081.42 = 259,226.56/x
  3. Step 3: Cross multiply
    463,208.05x = 639,081.42 × 259,226.56
  4. Step 4: Simplify right side
    463,208.05x = 165,666,878,066.52
  5. Step 5: Solve for x
    x = 165,666,878,066.52/463,208.05
  6. Step 6: Final answer
    x = 357,651.12

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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.