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Finding the Fourth Proportional to 463,241.77, 694,982.45 and 271,278.30

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Solution

The fourth proportional to 463,241.77, 694,982.45 and 271,278.30 is: 406,987.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,241.77 : 694,982.45 = 271,278.30 : x
  2. Step 2: Convert to fraction form
    463,241.77/694,982.45 = 271,278.30/x
  3. Step 3: Cross multiply
    463,241.77x = 694,982.45 × 271,278.30
  4. Step 4: Simplify right side
    463,241.77x = 188,533,657,565.84
  5. Step 5: Solve for x
    x = 188,533,657,565.84/463,241.77
  6. Step 6: Final answer
    x = 406,987.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.